TSTP Solution File: ITP299_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 04:11:38 EDT 2023
% Result : Theorem 56.51s 8.27s
% Output : Proof 79.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 15:52:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.63 ________ _____
% 0.20/0.63 ___ __ \_________(_)________________________________
% 0.20/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.63
% 0.20/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.63 (2023-06-19)
% 0.20/0.63
% 0.20/0.63 (c) Philipp Rümmer, 2009-2023
% 0.20/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.63 Amanda Stjerna.
% 0.20/0.63 Free software under BSD-3-Clause.
% 0.20/0.63
% 0.20/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.63
% 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 17.91/3.24 Prover 1: Preprocessing ...
% 17.91/3.24 Prover 4: Preprocessing ...
% 18.72/3.30 Prover 5: Preprocessing ...
% 18.72/3.30 Prover 0: Preprocessing ...
% 18.72/3.30 Prover 6: Preprocessing ...
% 18.72/3.30 Prover 2: Preprocessing ...
% 20.05/3.44 Prover 3: Preprocessing ...
% 49.21/7.26 Prover 1: Warning: ignoring some quantifiers
% 49.57/7.32 Prover 3: Warning: ignoring some quantifiers
% 50.97/7.46 Prover 3: Constructing countermodel ...
% 50.97/7.48 Prover 1: Constructing countermodel ...
% 52.97/7.74 Prover 6: Proving ...
% 56.51/8.27 Prover 3: proved (7615ms)
% 56.51/8.27
% 56.51/8.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.51/8.27
% 56.51/8.33 Prover 6: stopped
% 57.26/8.35 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 57.26/8.35 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 64.19/9.21 Prover 4: Warning: ignoring some quantifiers
% 65.05/9.28 Prover 1: Found proof (size 63)
% 65.05/9.28 Prover 1: proved (8636ms)
% 67.32/9.64 Prover 4: Constructing countermodel ...
% 67.32/9.65 Prover 8: Preprocessing ...
% 67.32/9.65 Prover 4: stopped
% 68.58/9.76 Prover 7: Preprocessing ...
% 71.65/10.23 Prover 7: stopped
% 73.65/10.46 Prover 0: Proving ...
% 73.65/10.47 Prover 0: stopped
% 75.24/10.67 Prover 5: Proving ...
% 75.24/10.68 Prover 5: stopped
% 76.09/10.94 Prover 8: Warning: ignoring some quantifiers
% 77.15/11.06 Prover 8: Constructing countermodel ...
% 77.15/11.07 Prover 8: stopped
% 78.40/11.33 Prover 2: Proving ...
% 78.40/11.33 Prover 2: stopped
% 78.40/11.34
% 78.40/11.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.40/11.34
% 78.61/11.39 % SZS output start Proof for theBenchmark
% 78.61/11.43 Assumptions after simplification:
% 78.61/11.43 ---------------------------------
% 78.61/11.43
% 78.61/11.43 (axiom28)
% 78.88/11.46 zFAxioms$(t$) = 0 & ZF_ZF_unit_Axioms_ext$(t$)
% 78.88/11.46
% 78.88/11.46 (axiom29)
% 78.88/11.47 ! [v0: ZF_ZF_unit_Axioms_ext$] : ! [v1:
% 78.88/11.47 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ( ~ (canonicalInterpretation$(v0) =
% 78.88/11.47 v1) | ~ ZF_ZF_unit_Axioms_ext$(v0) | ? [v2: any] : ? [v3: any] :
% 78.88/11.47 (interpretation$(v1) = v3 & zFAxioms$(v0) = v2 & ( ~ (v2 = 0) | v3 = 0)))
% 78.88/11.47
% 78.88/11.47 (axiom30)
% 78.88/11.47 ZF_ZF_unit_Axioms_ext$(t$) & tlbool(tltrue) & ZF_ZF_Language$(phi$) & ? [v0:
% 78.88/11.47 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ? [v1: ZF_ZF_IType$] :
% 78.88/11.47 (iBool$(tltrue) = v1 & interp$(v0, phi$, v1) = 0 &
% 78.88/11.47 canonicalInterpretation$(t$) = v0 & ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0)
% 78.88/11.47 & ZF_ZF_IType$(v1))
% 78.88/11.47
% 78.88/11.47 (axiom46)
% 78.88/11.47 tlbool(tltrue) & ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 &
% 78.88/11.47 ZF_ZF_IType$(v0) & ! [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 78.88/11.47 ZF_ZF_unit_Axioms_ext$] : ! [v3: ZF_ZF_Language$] : ! [v4:
% 78.88/11.47 ZF_ZF_Language_set$] : ! [v5: int] : (v5 = 0 | ~ (aAxioms$(v2) = v4) |
% 78.88/11.47 ~ (interp$(v1, v3, v0) = v5) | ~ (member$(v3, v4) = 0) | ~
% 78.88/11.47 ZF_ZF_unit_Axioms_ext$(v2) | ~ ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) |
% 78.88/11.47 ~ ZF_ZF_Language$(v3) | ? [v6: int] : ( ~ (v6 = 0) & model$(v1, v2) =
% 78.88/11.48 v6)))
% 78.88/11.48
% 78.88/11.48 (axiom49)
% 78.88/11.48 tlbool(tltrue) & ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 &
% 78.88/11.48 ZF_ZF_IType$(v0) & ! [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 78.88/11.48 ZF_ZF_unit_Axioms_ext$] : ! [v3: ZF_ZF_Language$] : ! [v4:
% 78.88/11.48 ZF_ZF_Language_set$] : ! [v5: int] : (v5 = 0 | ~ (interp$(v1, v3, v0) =
% 78.88/11.48 v5) | ~ (theory$(v2) = v4) | ~ (member$(v3, v4) = 0) | ~
% 78.88/11.48 ZF_ZF_unit_Axioms_ext$(v2) | ~ ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) |
% 78.88/11.48 ~ ZF_ZF_Language$(v3) | ? [v6: int] : ( ~ (v6 = 0) & model$(v1, v2) =
% 78.88/11.48 v6)))
% 78.88/11.48
% 78.88/11.48 (axiom50)
% 78.88/11.48 ! [v0: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1: ZF_ZF_Language$] : !
% 78.88/11.48 [v2: ZF_ZF_IType$] : ( ~ (interp$(v0, v1, v2) = 0) | ~
% 78.88/11.48 ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) | ~ ZF_ZF_Language$(v1) | ~
% 78.88/11.48 ZF_ZF_IType$(v2) | ? [v3: any] : ? [v4: ZF_ZF_unit_Signature_ext$] : ?
% 78.88/11.48 [v5: ZF_ZF_Language_bool_fun$] : ? [v6: any] : (iSignature$(v0) = v4 &
% 78.88/11.48 interpretation$(v0) = v3 & wellDefined$(v4) = v5 & fun_app$b(v5, v1) = v6
% 78.88/11.48 & ZF_ZF_Language_bool_fun$(v5) & ZF_ZF_unit_Signature_ext$(v4) & ( ~ (v3 =
% 78.88/11.48 0) | v6 = 0)))
% 78.88/11.48
% 78.88/11.48 (axiom65)
% 78.88/11.49 tlbool(tltrue) & ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 &
% 78.88/11.49 ZF_ZF_IType$(v0) & ! [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 78.88/11.49 ZF_ZF_unit_Axioms_ext$] : ! [v3: int] : (v3 = 0 | ~ (model_axioms$(v1,
% 78.88/11.49 v2) = v3) | ~ ZF_ZF_unit_Axioms_ext$(v2) | ~
% 78.88/11.49 ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ? [v4: ZF_ZF_Language_set$] :
% 78.88/11.49 ? [v5: ZF_ZF_unit_Signature_ext$] : ? [v6: ZF_ZF_unit_Signature_ext$] :
% 78.88/11.49 (aAxioms$(v2) = v4 & iSignature$(v1) = v6 & aSignature$(v2) = v5 &
% 78.88/11.49 ZF_ZF_unit_Signature_ext$(v6) & ZF_ZF_unit_Signature_ext$(v5) &
% 78.88/11.49 ZF_ZF_Language_set$(v4) & ( ~ (v6 = v5) | ? [v7: ZF_ZF_Language$] : ?
% 78.88/11.49 [v8: int] : ( ~ (v8 = 0) & interp$(v1, v7, v0) = v8 & member$(v7, v4)
% 78.88/11.49 = 0 & ZF_ZF_Language$(v7))))) & ! [v1:
% 78.88/11.49 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2: ZF_ZF_unit_Axioms_ext$] :
% 78.88/11.49 ( ~ (model_axioms$(v1, v2) = 0) | ~ ZF_ZF_unit_Axioms_ext$(v2) | ~
% 78.88/11.49 ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ? [v3: ZF_ZF_Language_set$] :
% 78.88/11.49 ? [v4: ZF_ZF_unit_Signature_ext$] : (aAxioms$(v2) = v3 & iSignature$(v1) =
% 78.88/11.49 v4 & aSignature$(v2) = v4 & ZF_ZF_unit_Signature_ext$(v4) &
% 78.88/11.49 ZF_ZF_Language_set$(v3) & ! [v5: ZF_ZF_Language$] : ! [v6: int] : (v6
% 78.88/11.49 = 0 | ~ (interp$(v1, v5, v0) = v6) | ~ ZF_ZF_Language$(v5) | ? [v7:
% 78.88/11.49 int] : ( ~ (v7 = 0) & member$(v5, v3) = v7)))))
% 78.88/11.49
% 78.88/11.49 (axiom66)
% 78.88/11.50 tlbool(tltrue) & ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 &
% 78.88/11.50 ZF_ZF_IType$(v0) & ! [v1: ZF_ZF_unit_Axioms_ext$] : ! [v2:
% 78.88/11.50 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v3: int] : (v3 = 0 | ~
% 78.88/11.50 (model_axioms$(v2, v1) = v3) | ~ ZF_ZF_unit_Axioms_ext$(v1) | ~
% 78.88/11.50 ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v2) | ? [v4: ZF_ZF_Language_set$] :
% 78.88/11.50 ? [v5: ZF_ZF_unit_Signature_ext$] : ? [v6: ZF_ZF_unit_Signature_ext$] :
% 78.88/11.50 (aAxioms$(v1) = v4 & iSignature$(v2) = v6 & aSignature$(v1) = v5 &
% 78.88/11.50 ZF_ZF_unit_Signature_ext$(v6) & ZF_ZF_unit_Signature_ext$(v5) &
% 78.88/11.50 ZF_ZF_Language_set$(v4) & ( ~ (v6 = v5) | ? [v7: ZF_ZF_Language$] : ?
% 78.88/11.50 [v8: int] : ( ~ (v8 = 0) & interp$(v2, v7, v0) = v8 & member$(v7, v4)
% 78.88/11.50 = 0 & ZF_ZF_Language$(v7))))))
% 78.88/11.50
% 78.88/11.50 (axiom69)
% 78.88/11.50 tlbool(tltrue) & ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 &
% 78.88/11.50 ZF_ZF_IType$(v0) & ! [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 78.88/11.50 ZF$] : ! [v3: ZF_ZF_Expression$] : ! [v4: ZF$] : ! [v5: ZF$] : ! [v6:
% 78.88/11.50 ZF_ZF_Expression$] : ! [v7: ZF_ZF_ZF_Language_fun$] : ! [v8:
% 78.88/11.50 ZF_ZF_Language$] : ! [v9: ZF_ZF_IType$] : ! [v10:
% 78.88/11.50 ZF_ZF_ZF_Language_fun$] : ! [v11: ZF_ZF_Language$] : ! [v12: int] : (v12
% 78.88/11.50 = 0 | ~ (iMor$(v5) = v9) | ~ (interp$(v1, v11, v0) = v12) | ~
% 78.88/11.50 (interp$(v1, v8, v9) = 0) | ~ (equation$d(v2, v3, v6) = v10) | ~
% 78.88/11.50 (term$(v2, v3) = v7) | ~ (fun_app$l(v10, v4) = v11) | ~ (fun_app$l(v7,
% 78.88/11.50 v4) = v8) | ~ ZF$(v5) | ~ ZF$(v4) | ~ ZF$(v2) | ~
% 78.88/11.50 ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ~ ZF_ZF_Expression$(v6) | ~
% 78.88/11.50 ZF_ZF_Expression$(v3) | ? [v13: any] : ? [v14: ZF_ZF_ZF_Language_fun$] :
% 78.88/11.50 ? [v15: ZF_ZF_Language$] : ? [v16: any] : (interp$(v1, v15, v9) = v16 &
% 78.88/11.50 interpretation$(v1) = v13 & term$(v2, v6) = v14 & fun_app$l(v14, v4) =
% 78.88/11.50 v15 & ZF_ZF_ZF_Language_fun$(v14) & ZF_ZF_Language$(v15) & ( ~ (v16 = 0)
% 78.88/11.50 | ~ (v13 = 0)))))
% 78.88/11.50
% 78.88/11.50 (axiom89)
% 78.88/11.51 tlbool(tltrue) & ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 &
% 78.88/11.51 ZF_ZF_IType$(v0) & ! [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 78.88/11.51 ZF$] : ! [v3: ZF_ZF_Expression$] : ! [v4: ZF_ZF_Expression$] : ! [v5:
% 78.88/11.51 ZF$] : ! [v6: ZF_ZF_ZF_Language_fun$] : ! [v7: ZF_ZF_Language$] : ( ~
% 78.88/11.51 (interp$(v1, v7, v0) = 0) | ~ (equation$d(v2, v3, v4) = v6) | ~
% 78.88/11.51 (fun_app$l(v6, v5) = v7) | ~ ZF$(v5) | ~ ZF$(v2) | ~
% 78.88/11.51 ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ~ ZF_ZF_Expression$(v4) | ~
% 78.88/11.51 ZF_ZF_Expression$(v3) | ? [v8: any] : ? [v9: ZF_ZF_ZF_Language_fun$] :
% 78.88/11.51 ? [v10: ZF_ZF_Language$] : ? [v11: ZF_ZF_ZF_Language_fun$] : ? [v12:
% 78.88/11.51 ZF_ZF_Language$] : (interpretation$(v1) = v8 & term$(v2, v4) = v11 &
% 78.88/11.51 term$(v2, v3) = v9 & fun_app$l(v11, v5) = v12 & fun_app$l(v9, v5) = v10
% 78.88/11.51 & ZF_ZF_ZF_Language_fun$(v11) & ZF_ZF_ZF_Language_fun$(v9) &
% 78.88/11.51 ZF_ZF_Language$(v12) & ZF_ZF_Language$(v10) & ( ~ (v8 = 0) | ? [v13:
% 78.88/11.51 ZF$] : ? [v14: ZF_ZF_IType$] : (iMor$(v13) = v14 & interp$(v1, v12,
% 78.88/11.51 v14) = 0 & interp$(v1, v10, v14) = 0 & ZF$(v13) &
% 78.88/11.51 ZF_ZF_IType$(v14))))))
% 78.88/11.51
% 78.88/11.51 (conjecture27)
% 78.88/11.51 ZF_ZF_unit_Axioms_ext$(t$) & ? [v0: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] :
% 78.88/11.51 ? [v1: int] : ( ~ (v1 = 0) & canonicalInterpretation$(t$) = v0 &
% 78.88/11.51 interpretation$(v0) = v1 & ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0))
% 78.88/11.51
% 78.88/11.51 (function-axioms)
% 79.07/11.61 ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : !
% 79.07/11.61 [v2: Unit$] : ! [v3: ZF_ZF_ZF_fun_fun$] : ! [v4: ZF_ZF_fun$] : ! [v5:
% 79.07/11.61 ZF_ZF_fun$] : ! [v6: ZF_ZF_fun$] : ! [v7: ZF_set$] : ! [v8: ZF_set$] :
% 79.07/11.61 (v1 = v0 | ~ (category_ext$(v8, v7, v6, v5, v4, v3, v2) = v1) | ~
% 79.07/11.61 (category_ext$(v8, v7, v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_unit_Signature_ext$] : ! [v1: ZF_ZF_unit_Signature_ext$] : ! [v2:
% 79.07/11.61 Unit$] : ! [v3: ZF_ZF_fun$] : ! [v4: ZF_ZF_fun$] : ! [v5: ZF_set$] : !
% 79.07/11.61 [v6: ZF_set$] : (v1 = v0 | ~ (signature_ext$e(v6, v5, v4, v3, v2) = v1) | ~
% 79.07/11.61 (signature_ext$e(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.07/11.61 ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v2: Unit$] : ! [v3:
% 79.07/11.61 ZF_ZF_Language_ZF_fun$] : ! [v4: ZF_ZF_Language_ZF_fun$] : ! [v5:
% 79.07/11.61 ZF_ZF_Language_set$] : ! [v6: ZF_set$] : (v1 = v0 | ~ (signature_ext$d(v6,
% 79.07/11.61 v5, v4, v3, v2) = v1) | ~ (signature_ext$d(v6, v5, v4, v3, v2) = v0)) &
% 79.07/11.61 ! [v0: ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v1:
% 79.07/11.61 ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v2: Unit$] : ! [v3:
% 79.07/11.61 ZF_ZF_Expression_ZF_fun$] : ! [v4: ZF_ZF_Expression_ZF_fun$] : ! [v5:
% 79.07/11.61 ZF_ZF_Expression_set$] : ! [v6: ZF_set$] : (v1 = v0 | ~
% 79.07/11.61 (signature_ext$c(v6, v5, v4, v3, v2) = v1) | ~ (signature_ext$c(v6, v5, v4,
% 79.07/11.61 v3, v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_unit_Signature_ext$] : !
% 79.07/11.61 [v1: ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v2: Unit$] : ! [v3:
% 79.07/11.61 ZF_ZF_ZF_Language_fun$] : ! [v4: ZF_ZF_ZF_Language_fun$] : ! [v5: ZF_set$]
% 79.07/11.61 : ! [v6: ZF_ZF_Language_set$] : (v1 = v0 | ~ (signature_ext$b(v6, v5, v4,
% 79.07/11.61 v3, v2) = v1) | ~ (signature_ext$b(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v2: Unit$] : !
% 79.07/11.61 [v3: ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v4:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v5: ZF_ZF_Language_set$] : ! [v6:
% 79.07/11.61 ZF_ZF_Language_set$] : (v1 = v0 | ~ (signature_ext$a(v6, v5, v4, v3, v2) =
% 79.07/11.61 v1) | ~ (signature_ext$a(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : ! [v2: Unit$] : !
% 79.07/11.61 [v3: ZF_ZF_Expression_ZF_ZF_Language_fun$] : ! [v4:
% 79.07/11.61 ZF_ZF_Expression_ZF_ZF_Language_fun$] : ! [v5: ZF_ZF_Expression_set$] : !
% 79.07/11.61 [v6: ZF_ZF_Language_set$] : (v1 = v0 | ~ (signature_ext$(v6, v5, v4, v3, v2)
% 79.07/11.61 = v1) | ~ (signature_ext$(v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.07/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2: Unit$] : ! [v3: ZF_ZF_fun$]
% 79.07/11.61 : ! [v4: ZF_ZF_fun$] : ! [v5: ZF_ZF_unit_Category_ext$] : ! [v6:
% 79.07/11.61 ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (interpretation_ext$(v6, v5, v4,
% 79.07/11.61 v3, v2) = v1) | ~ (interpretation_ext$(v6, v5, v4, v3, v2) = v0)) & !
% 79.07/11.61 [v0: ZF_ZF_unit_TermEquivClT_ext$] : ! [v1: ZF_ZF_unit_TermEquivClT_ext$] :
% 79.07/11.61 ! [v2: Unit$] : ! [v3: ZF$] : ! [v4: ZF_ZF_Expression_set$] : ! [v5: ZF$] :
% 79.07/11.61 (v1 = v0 | ~ (termEquivClT_ext$(v5, v4, v3, v2) = v1) | ~
% 79.07/11.61 (termEquivClT_ext$(v5, v4, v3, v2) = v0)) & ! [v0: ZF_ZF_Expression_set$] :
% 79.07/11.61 ! [v1: ZF_ZF_Expression_set$] : ! [v2: ZF$] : ! [v3: ZF_ZF_Expression$] :
% 79.07/11.61 ! [v4: ZF$] : ! [v5: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.07/11.61 (termEquivClGen$(v5, v4, v3, v2) = v1) | ~ (termEquivClGen$(v5, v4, v3, v2)
% 79.07/11.61 = v0)) & ! [v0: ZF_ZF_Language_ZF_ZF_Expression_Language$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Expression_Language$] : ! [v2: ZF_ZF_Language$] : !
% 79.07/11.61 [v3: ZF_ZF_Language_ZF_ZF_Expression_Expression$] : ! [v4:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Expression_Expression$] : ! [v5: ZF_ZF_Language$] :
% 79.07/11.61 (v1 = v0 | ~ (equation$f(v5, v4, v3, v2) = v1) | ~ (equation$f(v5, v4, v3,
% 79.07/11.61 v2) = v0)) & ! [v0: ZF_ZF_Expression_ZF_Language$] : ! [v1:
% 79.07/11.61 ZF_ZF_Expression_ZF_Language$] : ! [v2: ZF_ZF_Expression$] : ! [v3:
% 79.07/11.61 ZF_ZF_Expression_ZF_Expression$] : ! [v4: ZF_ZF_Expression_ZF_Expression$]
% 79.07/11.61 : ! [v5: ZF_ZF_Expression$] : (v1 = v0 | ~ (equation$e(v5, v4, v3, v2) = v1)
% 79.07/11.61 | ~ (equation$e(v5, v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Expression_bool_fun$] : ! [v1: ZF_ZF_Expression_bool_fun$] : ! [v2:
% 79.07/11.61 ZF$] : ! [v3: ZF_ZF_Expression$] : ! [v4: ZF$] : ! [v5:
% 79.07/11.61 ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (uuk$(v5, v4, v3, v2) = v1) | ~
% 79.07/11.61 (uuk$(v5, v4, v3, v2) = v0)) & ! [v0: ZF_ZF_ZF_Language_Language$] : !
% 79.07/11.61 [v1: ZF_ZF_ZF_Language_Language$] : ! [v2: ZF$] : ! [v3:
% 79.07/11.61 ZF_ZF_ZF_Language_Expression$] : ! [v4: ZF_ZF_ZF_Language_Expression$] : !
% 79.07/11.61 [v5: ZF$] : (v1 = v0 | ~ (equation$c(v5, v4, v3, v2) = v1) | ~
% 79.07/11.61 (equation$c(v5, v4, v3, v2) = v0)) & ! [v0: ZF_ZF_ZF_Expression_Language$]
% 79.07/11.61 : ! [v1: ZF_ZF_ZF_Expression_Language$] : ! [v2: ZF$] : ! [v3:
% 79.07/11.61 ZF_ZF_ZF_Expression_Expression$] : ! [v4: ZF_ZF_ZF_Expression_Expression$]
% 79.07/11.61 : ! [v5: ZF$] : (v1 = v0 | ~ (equation$b(v5, v4, v3, v2) = v1) | ~
% 79.07/11.61 (equation$b(v5, v4, v3, v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_Language$] :
% 79.07/11.61 ! [v1: ZF_ZF_Language_ZF_Language$] : ! [v2: ZF_ZF_Language$] : ! [v3:
% 79.07/11.61 ZF_ZF_Language_ZF_Expression$] : ! [v4: ZF_ZF_Language_ZF_Expression$] : !
% 79.07/11.61 [v5: ZF_ZF_Language$] : (v1 = v0 | ~ (equation$a(v5, v4, v3, v2) = v1) | ~
% 79.07/11.61 (equation$a(v5, v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v2: ZF_ZF_Language$] : !
% 79.07/11.61 [v3: ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v4:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v5: ZF_ZF_Language$] : (v1
% 79.07/11.61 = v0 | ~ (equation$(v5, v4, v3, v2) = v1) | ~ (equation$(v5, v4, v3, v2) =
% 79.07/11.61 v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: ZF_ZF_Language$] : ! [v3:
% 79.07/11.61 ZF_nat_fun$] : ! [v4: ZF_nat_fun$] : (v1 = v0 | ~ (size_Language$(v4, v3,
% 79.07/11.61 v2) = v1) | ~ (size_Language$(v4, v3, v2) = v0)) & ! [v0: Nat$] : !
% 79.07/11.61 [v1: Nat$] : ! [v2: ZF_ZF_IType$] : ! [v3: ZF_nat_fun$] : ! [v4:
% 79.07/11.61 ZF_nat_fun$] : (v1 = v0 | ~ (size_IType$(v4, v3, v2) = v1) | ~
% 79.07/11.61 (size_IType$(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType$] : ! [v1:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType$] : ! [v2:
% 79.07/11.61 ZF_ZF_IType$] : ! [v3: ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v4:
% 79.07/11.61 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : (v1 = v0 | ~ (map_IType$a(v4, v3,
% 79.07/11.61 v2) = v1) | ~ (map_IType$a(v4, v3, v2) = v0)) & ! [v0: ZF_ZF_IType$] :
% 79.07/11.61 ! [v1: ZF_ZF_IType$] : ! [v2: ZF_ZF_IType$] : ! [v3: ZF_ZF_fun$] : ! [v4:
% 79.07/11.61 ZF_ZF_fun$] : (v1 = v0 | ~ (map_IType$b(v4, v3, v2) = v1) | ~
% 79.07/11.61 (map_IType$b(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$] : !
% 79.07/11.61 [v1: ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$] : !
% 79.07/11.61 [v2: ZF_ZF_Expression$] : ! [v3: ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : !
% 79.07/11.61 [v4: ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : (v1 = v0 | ~
% 79.07/11.61 (map_Expression$b(v4, v3, v2) = v1) | ~ (map_Expression$b(v4, v3, v2) =
% 79.07/11.61 v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language$] : ! [v1:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language$] : ! [v2:
% 79.07/11.61 ZF_ZF_Language$] : ! [v3: ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v4:
% 79.07/11.61 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : (v1 = v0 | ~ (map_Language$a(v4, v3,
% 79.07/11.61 v2) = v1) | ~ (map_Language$a(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_fun_bool_fun$] : ! [v1: ZF_ZF_fun_bool_fun$] : ! [v2: ZF_ZF_fun$] :
% 79.07/11.61 ! [v3: ZF_ZF_fun_ZF_unit_Signature_ext$] : ! [v4: ZF$] : (v1 = v0 | ~
% 79.07/11.61 (funsignature_abbrev$i(v4, v3, v2) = v1) | ~ (funsignature_abbrev$i(v4, v3,
% 79.07/11.61 v2) = v0)) & ! [v0: ZF_ZF_Expression_bool_fun$] : ! [v1:
% 79.07/11.61 ZF_ZF_Expression_bool_fun$] : ! [v2: ZF_ZF_Expression$] : ! [v3:
% 79.07/11.61 ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$] : ! [v4:
% 79.07/11.61 ZF_ZF_Expression$] : (v1 = v0 | ~ (funsignature_abbrev$h(v4, v3, v2) = v1)
% 79.07/11.61 | ~ (funsignature_abbrev$h(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Expression_bool_fun$] : ! [v1: ZF_ZF_Expression_bool_fun$] : ! [v2:
% 79.07/11.61 ZF_ZF_Expression$] : ! [v3:
% 79.07/11.61 ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$] : ! [v4:
% 79.07/11.61 ZF_ZF_Language$] : (v1 = v0 | ~ (funsignature_abbrev$g(v4, v3, v2) = v1) |
% 79.07/11.61 ~ (funsignature_abbrev$g(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Language_bool_fun$] : ! [v1: ZF_ZF_Language_bool_fun$] : ! [v2:
% 79.07/11.61 ZF_ZF_Language$] : ! [v3:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : ! [v4:
% 79.07/11.61 ZF_ZF_Expression$] : (v1 = v0 | ~ (funsignature_abbrev$e(v4, v3, v2) = v1)
% 79.07/11.61 | ~ (funsignature_abbrev$e(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Language_bool_fun$] : ! [v1: ZF_ZF_Language_bool_fun$] : ! [v2:
% 79.07/11.61 ZF_ZF_Language$] : ! [v3: ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v4:
% 79.07/11.61 ZF$] : (v1 = v0 | ~ (funsignature_abbrev$c(v4, v3, v2) = v1) | ~
% 79.07/11.61 (funsignature_abbrev$c(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Expression_bool_fun$] : ! [v1: ZF_ZF_Expression_bool_fun$] : ! [v2:
% 79.07/11.61 ZF_ZF_Expression$] : ! [v3: ZF_ZF_Expression_ZF_unit_Signature_ext$] : !
% 79.07/11.61 [v4: ZF$] : (v1 = v0 | ~ (funsignature_abbrev$b(v4, v3, v2) = v1) | ~
% 79.07/11.61 (funsignature_abbrev$b(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Expression_ZF_Language$] : ! [v1: ZF_ZF_Expression_ZF_Language$] : !
% 79.07/11.61 [v2: ZF_ZF_Expression$] : ! [v3: ZF_ZF_Expression_ZF_Expression$] : ! [v4:
% 79.07/11.61 ZF_ZF_Expression$] : (v1 = v0 | ~ (term$f(v4, v3, v2) = v1) | ~
% 79.07/11.61 (term$f(v4, v3, v2) = v0)) & ! [v0: ZF_ZF_Language_bool_fun$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language_bool_fun$] : ! [v2: ZF_ZF_Language$] : ! [v3:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v4:
% 79.07/11.61 ZF_ZF_Language$] : (v1 = v0 | ~ (funsignature_abbrev$(v4, v3, v2) = v1) |
% 79.07/11.61 ~ (funsignature_abbrev$(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_ZF_Language_Language$] : ! [v1: ZF_ZF_ZF_Language_Language$] : !
% 79.07/11.61 [v2: ZF$] : ! [v3: ZF_ZF_ZF_Language_Expression$] : ! [v4: ZF$] : (v1 = v0 |
% 79.07/11.61 ~ (term$e(v4, v3, v2) = v1) | ~ (term$e(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_ZF_Expression_Language$] : ! [v1: ZF_ZF_ZF_Expression_Language$] : !
% 79.07/11.61 [v2: ZF$] : ! [v3: ZF_ZF_ZF_Expression_Expression$] : ! [v4: ZF$] : (v1 = v0
% 79.07/11.61 | ~ (term$d(v4, v3, v2) = v1) | ~ (term$d(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Language_ZF_Language$] : ! [v1: ZF_ZF_Language_ZF_Language$] : !
% 79.07/11.61 [v2: ZF_ZF_Language$] : ! [v3: ZF_ZF_Language_ZF_Expression$] : ! [v4:
% 79.07/11.61 ZF_ZF_Language$] : (v1 = v0 | ~ (term$c(v4, v3, v2) = v1) | ~ (term$c(v4,
% 79.07/11.61 v3, v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_ZF_Language_Language$] : !
% 79.07/11.61 [v1: ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v2: ZF_ZF_Language$] : !
% 79.07/11.61 [v3: ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v4: ZF_ZF_Language$] :
% 79.07/11.61 (v1 = v0 | ~ (term$b(v4, v3, v2) = v1) | ~ (term$b(v4, v3, v2) = v0)) & !
% 79.07/11.61 [v0: ZF_ZF_Language_ZF_ZF_Expression_Language$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Expression_Language$] : ! [v2: ZF_ZF_Language$] : !
% 79.07/11.61 [v3: ZF_ZF_Language_ZF_ZF_Expression_Expression$] : ! [v4: ZF_ZF_Language$] :
% 79.07/11.61 (v1 = v0 | ~ (term$a(v4, v3, v2) = v1) | ~ (term$a(v4, v3, v2) = v0)) & !
% 79.07/11.61 [v0: ZF_ZF_unit_Axioms_ext$] : ! [v1: ZF_ZF_unit_Axioms_ext$] : ! [v2:
% 79.07/11.61 Unit$] : ! [v3: ZF_ZF_unit_Signature_ext$] : ! [v4: ZF_ZF_Language_set$] :
% 79.07/11.61 (v1 = v0 | ~ (axioms_ext$(v4, v3, v2) = v1) | ~ (axioms_ext$(v4, v3, v2) =
% 79.07/11.61 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.07/11.61 ZF_ZF_IType$] : ! [v3: ZF_ZF_Language$] : ! [v4:
% 79.07/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~ (interp$(v4, v3, v2) =
% 79.07/11.61 v1) | ~ (interp$(v4, v3, v2) = v0)) & ! [v0: ZF_ZF_ZF_Language_fun$] :
% 79.07/11.61 ! [v1: ZF_ZF_ZF_Language_fun$] : ! [v2: ZF_ZF_Expression$] : ! [v3:
% 79.07/11.61 ZF_ZF_Expression$] : ! [v4: ZF$] : (v1 = v0 | ~ (equation$d(v4, v3, v2) =
% 79.07/11.61 v1) | ~ (equation$d(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v1:
% 79.07/11.61 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v2: ZF_ZF_Expression$] : ! [v3:
% 79.07/11.61 ZF$] : ! [v4: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (termEquivCl$a(v4,
% 79.07/11.61 v3, v2) = v1) | ~ (termEquivCl$a(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_Expression$] : ! [v3:
% 79.07/11.61 ZF$] : ! [v4: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (termEquivCl$(v4, v3,
% 79.07/11.61 v2) = v1) | ~ (termEquivCl$(v4, v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Expression_nat_fun$] : ! [v1: ZF_ZF_Expression_nat_fun$] : ! [v2:
% 79.07/11.61 ZF_nat_fun$] : ! [v3: ZF_nat_fun$] : (v1 = v0 | ~ (size_Expression$(v3,
% 79.07/11.61 v2) = v1) | ~ (size_Expression$(v3, v2) = v0)) & ! [v0: Nat$] : !
% 79.07/11.61 [v1: Nat$] : ! [v2: ZF_ZF_Expression$] : ! [v3: ZF_ZF_Expression_nat_fun$] :
% 79.07/11.61 (v1 = v0 | ~ (fun_app$ak(v3, v2) = v1) | ~ (fun_app$ak(v3, v2) = v0)) & !
% 79.07/11.61 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_set$] :
% 79.07/11.61 ! [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$]
% 79.07/11.61 : (v1 = v0 | ~ (inj_on$c(v3, v2) = v1) | ~ (inj_on$c(v3, v2) = v0)) & !
% 79.07/11.61 [v0: ZF_ZF_IType$] : ! [v1: ZF_ZF_IType$] : ! [v2:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType$] : ! [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$]
% 79.07/11.61 : (v1 = v0 | ~ (fun_app$aj(v3, v2) = v1) | ~ (fun_app$aj(v3, v2) = v0)) & !
% 79.07/11.61 [v0:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$]
% 79.07/11.61 : ! [v1:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$]
% 79.07/11.61 : ! [v2: ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : ! [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : (v1 = v0 | ~ (map_Expression$a(v3,
% 79.07/11.61 v2) = v1) | ~ (map_Expression$a(v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Expression$] : ! [v1: ZF_ZF_Expression$] : ! [v2:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$] : !
% 79.07/11.61 [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$]
% 79.07/11.61 : (v1 = v0 | ~ (fun_app$ai(v3, v2) = v1) | ~ (fun_app$ai(v3, v2) = v0)) & !
% 79.07/11.61 [v0:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$]
% 79.07/11.61 : ! [v1:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$]
% 79.07/11.61 : ! [v2: ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : ! [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : (v1 = v0 | ~ (map_IType$(v3, v2) =
% 79.07/11.61 v1) | ~ (map_IType$(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.07/11.61 MultipleValueBool] : ! [v2:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_set$] : !
% 79.07/11.61 [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_IType_ZF_ZF_IType_fun$]
% 79.07/11.61 : (v1 = v0 | ~ (inj_on$b(v3, v2) = v1) | ~ (inj_on$b(v3, v2) = v0)) & !
% 79.07/11.61 [v0: ZF_ZF_Expression_ZF_ZF_Expression_fun$] : ! [v1:
% 79.07/11.61 ZF_ZF_Expression_ZF_ZF_Expression_fun$] : ! [v2: ZF_ZF_fun$] : ! [v3:
% 79.07/11.61 ZF_ZF_fun$] : (v1 = v0 | ~ (map_Expression$(v3, v2) = v1) | ~
% 79.07/11.61 (map_Expression$(v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v2: ZF_ZF_fun$] : ! [v3:
% 79.07/11.61 ZF_ZF_fun$] : (v1 = v0 | ~ (map_Language$b(v3, v2) = v1) | ~
% 79.07/11.61 (map_Language$b(v3, v2) = v0)) & ! [v0: ZF_ZF_Language$] : ! [v1:
% 79.07/11.61 ZF_ZF_Language$] : ! [v2:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language$] : ! [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$]
% 79.07/11.61 : (v1 = v0 | ~ (fun_app$ah(v3, v2) = v1) | ~ (fun_app$ah(v3, v2) = v0)) & !
% 79.07/11.61 [v0:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$]
% 79.07/11.61 : ! [v1:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$]
% 79.07/11.61 : ! [v2: ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : ! [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : (v1 = v0 | ~ (map_Language$(v3, v2)
% 79.07/11.61 = v1) | ~ (map_Language$(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 79.07/11.61 [v1: MultipleValueBool] : ! [v2:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_set$] : !
% 79.07/11.61 [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Language_ZF_ZF_Language_fun$]
% 79.07/11.61 : (v1 = v0 | ~ (inj_on$a(v3, v2) = v1) | ~ (inj_on$a(v3, v2) = v0)) & !
% 79.07/11.61 [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.07/11.61 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v3:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : (v1 = v0 | ~ (comp$a(v3, v2) = v1) |
% 79.07/11.61 ~ (comp$a(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_TermEquivClT_ext$] : ! [v1:
% 79.07/11.61 ZF_ZF_unit_TermEquivClT_ext$] : ! [v2: ZF_ZF_unit_TermEquivClT_ext$] : !
% 79.07/11.61 [v3: ZF_ZF_fun$] : (v1 = v0 | ~ (tDomain_update$(v3, v2) = v1) | ~
% 79.07/11.61 (tDomain_update$(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_TermEquivClT_ext$] : !
% 79.07/11.61 [v1: ZF_ZF_unit_TermEquivClT_ext$] : ! [v2: ZF_ZF_unit_TermEquivClT_ext$] :
% 79.07/11.61 ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~ (tCodomain_update$(v3, v2) = v1) | ~
% 79.07/11.61 (tCodomain_update$(v3, v2) = v0)) & ! [v0:
% 79.07/11.61 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v2:
% 79.66/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : ! [v3:
% 79.66/11.61 ZF_ZF_unit_TermEquivClT_ext_set$] : (v1 = v0 | ~ (inv_into$(v3, v2) = v1) |
% 79.66/11.61 ~ (inv_into$(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.61 MultipleValueBool] : ! [v2: ZF_ZF_unit_TermEquivClT_ext_set$] : ! [v3:
% 79.66/11.61 ZF_ZF_unit_TermEquivClT_ext_ZF_fun$] : (v1 = v0 | ~ (inj_on$(v3, v2) = v1)
% 79.66/11.61 | ~ (inj_on$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2:
% 79.66/11.61 ZF_ZF_unit_TermEquivClT_ext$] : ! [v3: ZF_ZF_unit_TermEquivClT_ext_ZF_fun$]
% 79.66/11.61 : (v1 = v0 | ~ (fun_app$ag(v3, v2) = v1) | ~ (fun_app$ag(v3, v2) = v0)) & !
% 79.66/11.61 [v0: ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_fun_fun$] : ! [v3: ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] : (v1 =
% 79.66/11.61 v0 | ~ (fun_app$af(v3, v2) = v1) | ~ (fun_app$af(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] :
% 79.66/11.61 (v1 = v0 | ~ (iTypes_update$(v3, v2) = v1) | ~ (iTypes_update$(v3, v2) =
% 79.66/11.61 v0)) & ! [v0: ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_Language_set_ZF_ZF_Language_set_fun$] : (v1 = v0 | ~
% 79.66/11.61 (baseFunctions_update$d(v3, v2) = v1) | ~ (baseFunctions_update$d(v3, v2) =
% 79.66/11.61 v0)) & ! [v0: ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$] : (v1 = v0 | ~
% 79.66/11.61 (baseFunctions_update$c(v3, v2) = v1) | ~ (baseFunctions_update$c(v3, v2) =
% 79.66/11.61 v0)) & ! [v0: ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v3: ZF_set_ZF_set_fun$] : (v1 =
% 79.66/11.61 v0 | ~ (baseFunctions_update$b(v3, v2) = v1) | ~
% 79.66/11.61 (baseFunctions_update$b(v3, v2) = v0)) & ! [v0: ZF_set$] : ! [v1: ZF_set$]
% 79.66/11.61 : ! [v2: ZF_set$] : ! [v3: ZF_set_ZF_set_fun$] : (v1 = v0 | ~
% 79.66/11.61 (fun_app$ae(v3, v2) = v1) | ~ (fun_app$ae(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_Language_set_ZF_ZF_Language_set_fun$] : (v1 = v0 | ~
% 79.66/11.61 (baseFunctions_update$a(v3, v2) = v1) | ~ (baseFunctions_update$a(v3, v2) =
% 79.66/11.61 v0)) & ! [v0: ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : !
% 79.66/11.61 [v1: ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$] : (v1 = v0 | ~
% 79.66/11.61 (baseFunctions_update$(v3, v2) = v1) | ~ (baseFunctions_update$(v3, v2) =
% 79.66/11.61 v0)) & ! [v0: ZF_ZF_Expression_set$] : ! [v1: ZF_ZF_Expression_set$] :
% 79.66/11.61 ! [v2: ZF_ZF_Expression_set$] : ! [v3:
% 79.66/11.61 ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$] : (v1 = v0 | ~
% 79.66/11.61 (fun_app$ad(v3, v2) = v1) | ~ (fun_app$ad(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_Expression$] : ! [v1: ZF_ZF_Expression$] : ! [v2: ZF_ZF_Expression$]
% 79.66/11.61 : ! [v3: ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 |
% 79.66/11.61 ~ (sigDom$h(v3, v2) = v1) | ~ (sigDom$h(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_Expression$] : ! [v1: ZF_ZF_Expression$] : ! [v2: ZF_ZF_Expression$]
% 79.66/11.61 : ! [v3: ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 |
% 79.66/11.61 ~ (sigCod$h(v3, v2) = v1) | ~ (sigCod$h(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_Language$] : ! [v1: ZF_ZF_Language$] : ! [v2: ZF_ZF_Expression$] :
% 79.66/11.61 ! [v3: ZF_ZF_Expression_ZF_ZF_Language_fun$] : (v1 = v0 | ~ (fun_app$ac(v3,
% 79.66/11.61 v2) = v1) | ~ (fun_app$ac(v3, v2) = v0)) & ! [v0: ZF_ZF_Expression$] :
% 79.66/11.61 ! [v1: ZF_ZF_Expression$] : ! [v2: ZF_ZF_Language$] : ! [v3:
% 79.66/11.61 ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.61 (sigDom$f(v3, v2) = v1) | ~ (sigDom$f(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_Expression$] : ! [v1: ZF_ZF_Expression$] : ! [v2: ZF_ZF_Language$] :
% 79.66/11.61 ! [v3: ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.61 (sigCod$f(v3, v2) = v1) | ~ (sigCod$f(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_Language$] : ! [v1: ZF_ZF_Language$] : ! [v2: ZF_ZF_Language$] : !
% 79.66/11.61 [v3: ZF_ZF_Language_ZF_ZF_Language_fun$] : (v1 = v0 | ~ (fun_app$ab(v3, v2) =
% 79.66/11.61 v1) | ~ (fun_app$ab(v3, v2) = v0)) & ! [v0: ZF_ZF_Expression$] : ! [v1:
% 79.66/11.61 ZF_ZF_Expression$] : ! [v2: ZF$] : ! [v3:
% 79.66/11.61 ZF_ZF_Expression_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (sigDom$d(v3, v2) =
% 79.66/11.61 v1) | ~ (sigDom$d(v3, v2) = v0)) & ! [v0: ZF_ZF_Expression$] : ! [v1:
% 79.66/11.61 ZF_ZF_Expression$] : ! [v2: ZF$] : ! [v3:
% 79.66/11.61 ZF_ZF_Expression_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (sigCod$d(v3, v2) =
% 79.66/11.61 v1) | ~ (sigCod$d(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : (v1 = v0 | ~
% 79.66/11.61 (iSignature_update$(v3, v2) = v1) | ~ (iSignature_update$(v3, v2) = v0)) &
% 79.66/11.61 ! [v0: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : (v1 = v0 | ~
% 79.66/11.61 (iCategory_update$(v3, v2) = v1) | ~ (iCategory_update$(v3, v2) = v0)) & !
% 79.66/11.61 [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_set$] : ! [v3:
% 79.66/11.61 ZF_ZF_fun$] : (v1 = v0 | ~ (restrict$a(v3, v2) = v1) | ~ (restrict$a(v3,
% 79.66/11.61 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 79.66/11.61 ! [v2: ZF_ZF_Language_set$] : ! [v3: ZF_ZF_Language_set$] : (v1 = v0 | ~
% 79.66/11.61 (less_eq$d(v3, v2) = v1) | ~ (less_eq$d(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_Language_Language_set$] : ! [v3: ZF_ZF_ZF_Language_Language_set$]
% 79.66/11.61 : (v1 = v0 | ~ (less_eq$c(v3, v2) = v1) | ~ (less_eq$c(v3, v2) = v0)) & !
% 79.66/11.61 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_Expression_Language_set$] : ! [v3:
% 79.66/11.61 ZF_ZF_ZF_Expression_Language_set$] : (v1 = v0 | ~ (less_eq$b(v3, v2) = v1)
% 79.66/11.61 | ~ (less_eq$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.61 MultipleValueBool] : ! [v2: ZF_ZF_Language_ZF_Language_set$] : ! [v3:
% 79.66/11.61 ZF_ZF_Language_ZF_Language_set$] : (v1 = v0 | ~ (less_eq$a(v3, v2) = v1) |
% 79.66/11.61 ~ (less_eq$a(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.61 MultipleValueBool] : ! [v2: ZF_ZF_Language_ZF_ZF_Language_Language_set$] :
% 79.66/11.61 ! [v3: ZF_ZF_Language_ZF_ZF_Language_Language_set$] : (v1 = v0 | ~
% 79.66/11.61 (less_eq$(v3, v2) = v1) | ~ (less_eq$(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] :
% 79.66/11.61 (v1 = v0 | ~ (iFunctions_update$(v3, v2) = v1) | ~ (iFunctions_update$(v3,
% 79.66/11.61 v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.61 ZF_ZF_fun$] : ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~
% 79.66/11.61 (fun_app$aa(v3, v2) = v1) | ~ (fun_app$aa(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_IType_ZF_ZF_IType_bool_fun_fun$] : ! [v1:
% 79.66/11.61 ZF_ZF_IType_ZF_ZF_IType_bool_fun_fun$] : ! [v2: ZF_ZF_bool_fun_fun$] : !
% 79.66/11.61 [v3: ZF_ZF_bool_fun_fun$] : (v1 = v0 | ~ (rel_IType$(v3, v2) = v1) | ~
% 79.66/11.61 (rel_IType$(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Axioms_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_unit_Axioms_ext$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_Language_set_ZF_ZF_Language_set_fun$] : (v1 = v0 | ~
% 79.66/11.61 (aAxioms_update$(v3, v2) = v1) | ~ (aAxioms_update$(v3, v2) = v0)) & !
% 79.66/11.61 [v0: ZF_ZF_Language_set$] : ! [v1: ZF_ZF_Language_set$] : ! [v2:
% 79.66/11.61 ZF_ZF_Language_set$] : ! [v3: ZF_ZF_Language_set_ZF_ZF_Language_set_fun$] :
% 79.66/11.61 (v1 = v0 | ~ (fun_app$z(v3, v2) = v1) | ~ (fun_app$z(v3, v2) = v0)) & !
% 79.66/11.61 [v0: ZF_ZF_unit_Axioms_ext$] : ! [v1: ZF_ZF_unit_Axioms_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_unit_Axioms_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : (v1 = v0 | ~
% 79.66/11.61 (aSignature_update$(v3, v2) = v1) | ~ (aSignature_update$(v3, v2) = v0)) &
% 79.66/11.61 ! [v0: ZF_ZF_unit_Signature_ext$] : ! [v1: ZF_ZF_unit_Signature_ext$] : !
% 79.66/11.61 [v2: ZF_ZF_unit_Signature_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : (v1 = v0 | ~
% 79.66/11.61 (fun_app$y(v3, v2) = v1) | ~ (fun_app$y(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v3: Unit_unit_fun$] : (v1 = v0 |
% 79.66/11.61 ~ (more_update$a(v3, v2) = v1) | ~ (more_update$a(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.61 ZF_ZF_unit_Category_ext$] : ! [v3:
% 79.66/11.61 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : (v1 = v0 | ~
% 79.66/11.61 (fun_app$x(v3, v2) = v1) | ~ (fun_app$x(v3, v2) = v0)) & ! [v0: tlbool] :
% 79.66/11.61 ! [v1: tlbool] : ! [v2: ZF$] : ! [v3: ZF$] : (v1 = v0 | ~ (def_4(v3, v2) =
% 79.66/11.61 v1) | ~ (def_4(v3, v2) = v0)) & ! [v0: tlbool] : ! [v1: tlbool] : !
% 79.66/11.61 [v2: ZF$] : ! [v3: ZF$] : (v1 = v0 | ~ (def_3(v3, v2) = v1) | ~ (def_3(v3,
% 79.66/11.61 v2) = v0)) & ! [v0: ZF_ZF_ZF_Expression_Expression$] : ! [v1:
% 79.66/11.61 ZF_ZF_ZF_Expression_Expression$] : ! [v2: ZF_ZF_ZF_Expression_Expression$]
% 79.66/11.61 : ! [v3: ZF_ZF_Expression$] : (v1 = v0 | ~ (exprApp$f(v3, v2) = v1) | ~
% 79.66/11.61 (exprApp$f(v3, v2) = v0)) & ! [v0:
% 79.66/11.61 ZF_ZF_Language_ZF_ZF_Expression_Expression$] : ! [v1:
% 79.66/11.61 ZF_ZF_Language_ZF_ZF_Expression_Expression$] : ! [v2:
% 79.66/11.61 ZF_ZF_Language_ZF_ZF_Expression_Expression$] : ! [v3: ZF_ZF_Expression$] :
% 79.66/11.61 (v1 = v0 | ~ (exprApp$e(v3, v2) = v1) | ~ (exprApp$e(v3, v2) = v0)) & !
% 79.66/11.61 [v0: ZF_ZF_bool_fun_fun$] : ! [v1: ZF_ZF_bool_fun_fun$] : ! [v2:
% 79.66/11.61 ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v3: ZF_ZF_Expression$] : (v1
% 79.66/11.62 = v0 | ~ (funsignature_abbrev$f(v3, v2) = v1) | ~
% 79.66/11.62 (funsignature_abbrev$f(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : !
% 79.66/11.62 [v2: ZF_ZF_Expression$] : ! [v3: ZF_ZF_Expression_ZF_fun$] : (v1 = v0 | ~
% 79.66/11.62 (fun_app$w(v3, v2) = v1) | ~ (fun_app$w(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_bool_fun_fun$] : ! [v1: ZF_ZF_bool_fun_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Signature_ext$] : ! [v3: ZF$] : (v1 = v0 | ~
% 79.66/11.62 (funsignature_abbrev$d(v3, v2) = v1) | ~ (funsignature_abbrev$d(v3, v2) =
% 79.66/11.62 v0)) & ! [v0: ZF_ZF_Language_ZF_Expression$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_Expression$] : ! [v2: ZF_ZF_Language_ZF_Expression$] : !
% 79.66/11.62 [v3: ZF_ZF_Language_ZF_Expression$] : (v1 = v0 | ~ (subst$d(v3, v2) = v1) |
% 79.66/11.62 ~ (subst$d(v3, v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_Expression$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_Expression$] : ! [v2: ZF_ZF_Language_ZF_Expression$] : !
% 79.66/11.62 [v3: ZF$] : (v1 = v0 | ~ (exprApp$d(v3, v2) = v1) | ~ (exprApp$d(v3, v2) =
% 79.66/11.62 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_Language$] : ! [v3: ZF_ZF_Language_ZF_unit_Axioms_ext$] :
% 79.66/11.62 (v1 = v0 | ~ (theoryp$d(v3, v2) = v1) | ~ (theoryp$d(v3, v2) = v0)) & !
% 79.66/11.62 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_Language_set$] : ! [v3: ZF_ZF_Language_ZF_Language$] :
% 79.66/11.62 (v1 = v0 | ~ (member$j(v3, v2) = v1) | ~ (member$j(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_ZF_Expression$] : ! [v1: ZF_ZF_Expression_ZF_Expression$]
% 79.66/11.62 : ! [v2: ZF_ZF_Expression_ZF_Expression$] : ! [v3:
% 79.66/11.62 ZF_ZF_Expression_ZF_Expression$] : (v1 = v0 | ~ (subst$c(v3, v2) = v1) | ~
% 79.66/11.62 (subst$c(v3, v2) = v0)) & ! [v0: ZF_ZF_Expression_ZF_Expression$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_ZF_Expression$] : ! [v2: ZF_ZF_Expression_ZF_Expression$]
% 79.66/11.62 : ! [v3: ZF$] : (v1 = v0 | ~ (exprApp$c(v3, v2) = v1) | ~ (exprApp$c(v3,
% 79.66/11.62 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 79.66/11.62 ! [v2: ZF_ZF_Expression_ZF_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Expression_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (theoryp$c(v3, v2) =
% 79.66/11.62 v1) | ~ (theoryp$c(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_Expression_ZF_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Expression_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (wellDefined$f(v3,
% 79.66/11.62 v2) = v1) | ~ (wellDefined$f(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_Language_set$] : ! [v3: ZF_ZF_Expression_ZF_Language$]
% 79.66/11.62 : (v1 = v0 | ~ (member$i(v3, v2) = v1) | ~ (member$i(v3, v2) = v0)) & !
% 79.66/11.62 [v0: ZF_ZF_ZF_Language_Expression$] : ! [v1: ZF_ZF_ZF_Language_Expression$] :
% 79.66/11.62 ! [v2: ZF_ZF_ZF_Language_Expression$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_Language_Expression$] : (v1 = v0 | ~ (subst$b(v3, v2) = v1) | ~
% 79.66/11.62 (subst$b(v3, v2) = v0)) & ! [v0: ZF_ZF_ZF_Language_Expression$] : ! [v1:
% 79.66/11.62 ZF_ZF_ZF_Language_Expression$] : ! [v2: ZF_ZF_ZF_Language_Expression$] : !
% 79.66/11.62 [v3: ZF_ZF_Language$] : (v1 = v0 | ~ (exprApp$b(v3, v2) = v1) | ~
% 79.66/11.62 (exprApp$b(v3, v2) = v0)) & ! [v0: ZF_ZF_bool_fun_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_bool_fun_fun$] : ! [v2: ZF_ZF_ZF_Language_unit_Signature_ext$] : !
% 79.66/11.62 [v3: ZF_ZF_Language$] : (v1 = v0 | ~ (funsignature_abbrev$a(v3, v2) = v1) |
% 79.66/11.62 ~ (funsignature_abbrev$a(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 79.66/11.62 [v1: MultipleValueBool] : ! [v2: ZF_ZF_ZF_Language_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~ (theoryp$b(v3, v2) = v1)
% 79.66/11.62 | ~ (theoryp$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_ZF_Language_Language_set$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_Language_Language$] : (v1 = v0 | ~ (member$h(v3, v2) = v1) | ~
% 79.66/11.62 (member$h(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Expression$] : (v1 = v0 | ~ (subst$a(v3, v2)
% 79.66/11.62 = v1) | ~ (subst$a(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Expression$] : ! [v3: ZF_ZF_Language$] : (v1
% 79.66/11.62 = v0 | ~ (exprApp$a(v3, v2) = v1) | ~ (exprApp$a(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.62 (theoryp$a(v3, v2) = v1) | ~ (theoryp$a(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language_set$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language$] : (v1 = v0 | ~ (member$g(v3, v2) =
% 79.66/11.62 v1) | ~ (member$g(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language$] : ! [v3: ZF_ZF_Language_ZF_fun$] : (v1 = v0 | ~
% 79.66/11.62 (fun_app$v(v3, v2) = v1) | ~ (fun_app$v(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_bool_fun_fun$] : ! [v1: ZF_ZF_bool_fun_fun$] : ! [v2: ZF$] : ! [v3:
% 79.66/11.62 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (mapsTo$(v3, v2) = v1) | ~
% 79.66/11.62 (mapsTo$(v3, v2) = v0)) & ! [v0: tlbool] : ! [v1: tlbool] : ! [v2: ZF$] :
% 79.66/11.62 ! [v3: ZF$] : (v1 = v0 | ~ (def_2(v3, v2) = v1) | ~ (def_2(v3, v2) = v0)) &
% 79.66/11.62 ! [v0: tlbool] : ! [v1: tlbool] : ! [v2: ZF$] : ! [v3: ZF$] : (v1 = v0 |
% 79.66/11.62 ~ (def_1(v3, v2) = v1) | ~ (def_1(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Expression_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (wellDefined$e(v3, v2) = v1) | ~ (wellDefined$e(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Axioms_ext$] : ! [v1: ZF_ZF_unit_Axioms_ext$] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Axioms_ext$] : ! [v3: Unit_unit_fun$] : (v1 = v0 | ~
% 79.66/11.62 (more_update$(v3, v2) = v1) | ~ (more_update$(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 Unit$] : ! [v1: Unit$] : ! [v2: Unit$] : ! [v3: Unit_unit_fun$] : (v1 =
% 79.66/11.62 v0 | ~ (fun_app$u(v3, v2) = v1) | ~ (fun_app$u(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Axioms_ext$] : ! [v3: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] :
% 79.66/11.62 (v1 = v0 | ~ (model_axioms$(v3, v2) = v1) | ~ (model_axioms$(v3, v2) = v0))
% 79.66/11.62 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Axioms_ext$] : ! [v3: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] :
% 79.66/11.62 (v1 = v0 | ~ (model$(v3, v2) = v1) | ~ (model$(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_bool_fun_fun$] : ! [v1: ZF_ZF_bool_fun_fun$] : ! [v2: ZF$] : ! [v3:
% 79.66/11.62 ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (uun$(v3, v2) = v1) | ~ (uun$(v3,
% 79.66/11.62 v2) = v0)) & ! [v0: ZF_ZF_Expression$] : ! [v1: ZF_ZF_Expression$] :
% 79.66/11.62 ! [v2: ZF_ZF_Expression$] : ! [v3: ZF_ZF_Expression_ZF_ZF_Expression_fun$] :
% 79.66/11.62 (v1 = v0 | ~ (fun_app$t(v3, v2) = v1) | ~ (fun_app$t(v3, v2) = v0)) & !
% 79.66/11.62 [v0: ZF_ZF_Expression_bool_fun$] : ! [v1: ZF_ZF_Expression_bool_fun$] : !
% 79.66/11.62 [v2: Nat$] : ! [v3: ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (uux$(v3, v2)
% 79.66/11.62 = v1) | ~ (uux$(v3, v2) = v0)) & ! [v0: ZF_ZF_Expression_set$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_set$] : ! [v2: Nat$] : ! [v3: ZF_ZF_unit_Signature_ext$]
% 79.66/11.62 : (v1 = v0 | ~ (wellFormedToSet$(v3, v2) = v1) | ~ (wellFormedToSet$(v3, v2)
% 79.66/11.62 = v0)) & ! [v0: ZF_ZF_prod_ZF_fun$] : ! [v1: ZF_ZF_prod_ZF_fun$] : !
% 79.66/11.62 [v2: ZF_ZF_prod_set$] : ! [v3: ZF_ZF_prod_ZF_fun$] : (v1 = v0 | ~
% 79.66/11.62 (restrict$(v3, v2) = v1) | ~ (restrict$(v3, v2) = v0)) & ! [v0: ZF$] : !
% 79.66/11.62 [v1: ZF$] : ! [v2: ZF_ZF_prod$] : ! [v3: ZF_ZF_prod_ZF_fun$] : (v1 = v0 | ~
% 79.66/11.62 (fun_app$s(v3, v2) = v1) | ~ (fun_app$s(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$r(v3, v2) = v1) | ~
% 79.66/11.62 (fun_app$r(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_ZF_Language_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_Language_Language_bool_fun$] : (v1 = v0 | ~ (fun_app$q(v3, v2) =
% 79.66/11.62 v1) | ~ (fun_app$q(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_ZF_Language_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~ (wellDefined$d(v3,
% 79.66/11.62 v2) = v1) | ~ (wellDefined$d(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Expression_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_Expression_Language_bool_fun$] : (v1 = v0 | ~ (fun_app$p(v3, v2) =
% 79.66/11.62 v1) | ~ (fun_app$p(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_ZF_Expression_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~ (wellDefined$c(v3,
% 79.66/11.62 v2) = v1) | ~ (wellDefined$c(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_Language$] : ! [v3: ZF_ZF_Language_ZF_Language_bool_fun$]
% 79.66/11.62 : (v1 = v0 | ~ (fun_app$o(v3, v2) = v1) | ~ (fun_app$o(v3, v2) = v0)) & !
% 79.66/11.62 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (wellDefined$b(v3,
% 79.66/11.62 v2) = v1) | ~ (wellDefined$b(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$] : (v1 = v0 | ~
% 79.66/11.62 (fun_app$n(v3, v2) = v1) | ~ (fun_app$n(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (wellDefined$a(v3, v2) = v1) | ~ (wellDefined$a(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_TermEquivClT_ext$] : ! [v1: ZF_ZF_unit_TermEquivClT_ext$] : !
% 79.66/11.62 [v2: ZF$] : ! [v3: ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : (v1 = v0 | ~
% 79.66/11.62 (fun_app$m(v3, v2) = v1) | ~ (fun_app$m(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_ZF_Language_fun$] : ! [v1: ZF_ZF_ZF_Language_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression$] : ! [v3: ZF$] : (v1 = v0 | ~ (term$(v3, v2) = v1) | ~
% 79.66/11.62 (term$(v3, v2) = v0)) & ! [v0: ZF_ZF_Language$] : ! [v1: ZF_ZF_Language$]
% 79.66/11.62 : ! [v2: ZF$] : ! [v3: ZF_ZF_ZF_Language_fun$] : (v1 = v0 | ~
% 79.66/11.62 (fun_app$l(v3, v2) = v1) | ~ (fun_app$l(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_prod$] : ! [v1: ZF_ZF_prod$] : ! [v2: ZF$] : ! [v3: ZF$] : (v1 = v0
% 79.66/11.62 | ~ (pair$(v3, v2) = v1) | ~ (pair$(v3, v2) = v0)) & ! [v0: ZF_bool_fun$]
% 79.66/11.62 : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: ZF_ZF_bool_fun_fun$] : (v1 =
% 79.66/11.62 v0 | ~ (fun_app$k(v3, v2) = v1) | ~ (fun_app$k(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_IType_bool_fun$] : ! [v1: ZF_ZF_IType_bool_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_IType$] : ! [v3: ZF_ZF_IType_ZF_ZF_IType_bool_fun_fun$] : (v1 = v0 |
% 79.66/11.62 ~ (fun_app$j(v3, v2) = v1) | ~ (fun_app$j(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_IType$] : !
% 79.66/11.62 [v3: ZF_ZF_IType_bool_fun$] : (v1 = v0 | ~ (fun_app$i(v3, v2) = v1) | ~
% 79.66/11.62 (fun_app$i(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_fun$] : ! [v3: ZF_ZF_fun_bool_fun$] :
% 79.66/11.62 (v1 = v0 | ~ (fun_app$h(v3, v2) = v1) | ~ (fun_app$h(v3, v2) = v0)) & !
% 79.66/11.62 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_fun_set$]
% 79.66/11.62 : ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~ (member$f(v3, v2) = v1) | ~
% 79.66/11.62 (member$f(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_prod_ZF_fun$] : ! [v3:
% 79.66/11.62 ZF_ZF_prod_ZF_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$g(v3, v2) = v1) | ~
% 79.66/11.62 (fun_app$g(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_prod_ZF_fun_set$] : ! [v3:
% 79.66/11.62 ZF_ZF_prod_ZF_fun$] : (v1 = v0 | ~ (member$e(v3, v2) = v1) | ~
% 79.66/11.62 (member$e(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF$] : ! [v3: ZF_bool_fun$] : (v1 = v0 | ~
% 79.66/11.62 (fun_app$f(v3, v2) = v1) | ~ (fun_app$f(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_set$] : ! [v3:
% 79.66/11.62 ZF$] : (v1 = v0 | ~ (member$d(v3, v2) = v1) | ~ (member$d(v3, v2) = v0)) &
% 79.66/11.62 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_prod$]
% 79.66/11.62 : ! [v3: ZF_ZF_prod_bool_fun$] : (v1 = v0 | ~ (fun_app$e(v3, v2) = v1) | ~
% 79.66/11.62 (fun_app$e(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_prod_set$] : ! [v3: ZF_ZF_prod$] : (v1 =
% 79.66/11.62 v0 | ~ (member$c(v3, v2) = v1) | ~ (member$c(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_Expression$]
% 79.66/11.62 : ! [v3: ZF_ZF_Expression_bool_fun$] : (v1 = v0 | ~ (fun_app$d(v3, v2) = v1)
% 79.66/11.62 | ~ (fun_app$d(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_Expression_set$] : ! [v3:
% 79.66/11.62 ZF_ZF_Expression$] : (v1 = v0 | ~ (member$b(v3, v2) = v1) | ~
% 79.66/11.62 (member$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_unit_TermEquivClT_ext$] : ! [v3:
% 79.66/11.62 ZF_ZF_unit_TermEquivClT_ext_bool_fun$] : (v1 = v0 | ~ (fun_app$c(v3, v2) =
% 79.66/11.62 v1) | ~ (fun_app$c(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_unit_TermEquivClT_ext_set$] : ! [v3:
% 79.66/11.62 ZF_ZF_unit_TermEquivClT_ext$] : (v1 = v0 | ~ (member$a(v3, v2) = v1) | ~
% 79.66/11.62 (member$a(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_Language$] : ! [v3:
% 79.66/11.62 ZF_ZF_Language_bool_fun$] : (v1 = v0 | ~ (fun_app$b(v3, v2) = v1) | ~
% 79.66/11.62 (fun_app$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_Language_set$] : ! [v3: ZF_ZF_Language$]
% 79.66/11.62 : (v1 = v0 | ~ (member$(v3, v2) = v1) | ~ (member$(v3, v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression$] : ! [v1: ZF_ZF_Expression$] : ! [v2: ZF_ZF_Expression$]
% 79.66/11.62 : ! [v3: ZF$] : (v1 = v0 | ~ (exprApp$(v3, v2) = v1) | ~ (exprApp$(v3, v2)
% 79.66/11.62 = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF$] : ! [v3: ZF_ZF_fun$]
% 79.66/11.62 : (v1 = v0 | ~ (fun_app$a(v3, v2) = v1) | ~ (fun_app$a(v3, v2) = v0)) & !
% 79.66/11.62 [v0: Nat$] : ! [v1: Nat$] : ! [v2: ZF$] : ! [v3: ZF_nat_fun$] : (v1 = v0 |
% 79.66/11.62 ~ (fun_app$(v3, v2) = v1) | ~ (fun_app$(v3, v2) = v0)) & ! [v0: Nat$] : !
% 79.66/11.62 [v1: Nat$] : ! [v2: ZF_ZF_Language$] : (v1 = v0 | ~ (size$a(v2) = v1) | ~
% 79.66/11.62 (size$a(v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression$] : (v1 = v0 | ~ (size$b(v2) = v1) | ~ (size$b(v2) = v0))
% 79.66/11.62 & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: ZF_ZF_IType$] : (v1 = v0 | ~
% 79.66/11.62 (size$(v2) = v1) | ~ (size$(v2) = v0)) & ! [v0: ZF_ZF_Expression_set$] :
% 79.66/11.62 ! [v1: ZF_ZF_Expression_set$] : ! [v2: ZF_ZF_unit_TermEquivClT_ext$] : (v1 =
% 79.66/11.62 v0 | ~ (tExprSet$(v2) = v1) | ~ (tExprSet$(v2) = v0)) & ! [v0: Unit$] :
% 79.66/11.62 ! [v1: Unit$] : ! [v2: ZF_ZF_unit_TermEquivClT_ext$] : (v1 = v0 | ~
% 79.66/11.62 (more$i(v2) = v1) | ~ (more$i(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_ZF_unit_TermEquivClT_ext_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1
% 79.66/11.62 = v0 | ~ (zF2m$(v2) = v1) | ~ (zF2m$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] : (v1 = v0 | ~ (comp_update$(v2) =
% 79.66/11.62 v1) | ~ (comp_update$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_set$] : (v1 = v0 | ~ (sup$(v2) = v1) | ~ (sup$(v2) = v0))
% 79.66/11.62 & ! [v0: int] : ! [v1: int] : ! [v2: Nat$] : (v1 = v0 | ~ (of_nat$(v2) =
% 79.66/11.62 v1) | ~ (of_nat$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 79.66/11.62 ZF_set_ZF_set_fun$] : (v1 = v0 | ~ (obj_update$(v2) = v1) | ~
% 79.66/11.62 (obj_update$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v2:
% 79.66/11.62 ZF_set_ZF_set_fun$] : (v1 = v0 | ~ (baseTypes_update$(v2) = v1) | ~
% 79.66/11.62 (baseTypes_update$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (sigCod_update$(v2) = v1) | ~
% 79.66/11.62 (sigCod_update$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (sigDom_update$(v2) = v1) | ~
% 79.66/11.62 (sigDom_update$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$] : ! [v2:
% 79.66/11.62 ZF_set_ZF_set_fun$] : (v1 = v0 | ~ (baseFunctions_update$e(v2) = v1) | ~
% 79.66/11.62 (baseFunctions_update$e(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : !
% 79.66/11.62 [v2: ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (more$h(v2) = v1) | ~
% 79.66/11.62 (more$h(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~ (more$g(v2) = v1) |
% 79.66/11.62 ~ (more$g(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~ (more$f(v2) = v1) |
% 79.66/11.62 ~ (more$f(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (more$e(v2) = v1) |
% 79.66/11.62 ~ (more$e(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (more$d(v2) = v1) | ~ (more$d(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$]
% 79.66/11.62 : ! [v2: ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (more$c(v2) = v1) | ~ (more$c(v2) = v0)) & ! [v0: ZF_set$] : ! [v1:
% 79.66/11.62 ZF_set$] : ! [v2: ZF_ZF_fun_ZF_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseFunctions$i(v2) = v1) | ~ (baseFunctions$i(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_fun_set$] : ! [v1: ZF_ZF_fun_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_fun_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (baseTypes$i(v2) = v1) |
% 79.66/11.62 ~ (baseTypes$i(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_fun_ZF_unit_Signature_ext$] : (v1 = v0 |
% 79.66/11.62 ~ (sigDom$i(v2) = v1) | ~ (sigDom$i(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$]
% 79.66/11.62 : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_fun_ZF_unit_Signature_ext$] : (v1
% 79.66/11.62 = v0 | ~ (sigCod$i(v2) = v1) | ~ (sigCod$i(v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_fun_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (signature$i(v2) = v1) |
% 79.66/11.62 ~ (signature$i(v2) = v0)) & ! [v0: ZF_ZF_Expression_set$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseFunctions$h(v2) = v1) | ~ (baseFunctions$h(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_set$] : ! [v1: ZF_ZF_Expression_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseTypes$h(v2) = v1) | ~ (baseTypes$h(v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (signature$h(v2) = v1) | ~ (signature$h(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Language_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Language_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (sigDom$g(v2) = v1) | ~ (sigDom$g(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_set$] : ! [v1: ZF_ZF_Expression_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseFunctions$g(v2) = v1) | ~ (baseFunctions$g(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Language_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Language_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (sigCod$g(v2) = v1) | ~ (sigCod$g(v2) = v0)) & ! [v0: ZF_ZF_Language_set$]
% 79.66/11.62 : ! [v1: ZF_ZF_Language_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseFunctions$f(v2) = v1) | ~ (baseFunctions$f(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_set$] : ! [v1: ZF_ZF_Expression_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseTypes$g(v2) = v1) | ~ (baseTypes$g(v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (signature$g(v2) = v1) | ~ (signature$g(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (sigDom$e(v2) = v1) | ~ (sigDom$e(v2) = v0)) & ! [v0: ZF_ZF_Language_set$]
% 79.66/11.62 : ! [v1: ZF_ZF_Language_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseFunctions$e(v2) = v1) | ~ (baseFunctions$e(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (sigCod$e(v2) = v1) | ~ (sigCod$e(v2) = v0)) & ! [v0: ZF_set$] : ! [v1:
% 79.66/11.62 ZF_set$] : ! [v2: ZF_ZF_Expression_ZF_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseFunctions$d(v2) = v1) | ~ (baseFunctions$d(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_set$] : ! [v1: ZF_set$] : ! [v2: ZF_ZF_Language_ZF_unit_Signature_ext$]
% 79.66/11.62 : (v1 = v0 | ~ (baseFunctions$c(v2) = v1) | ~ (baseFunctions$c(v2) = v0)) &
% 79.66/11.62 ! [v0: ZF_ZF_ZF_Language_fun$] : ! [v1: ZF_ZF_ZF_Language_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (sigDom$c(v2) = v1) |
% 79.66/11.62 ~ (sigDom$c(v2) = v0)) & ! [v0: ZF_ZF_ZF_Language_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_ZF_Language_fun$] : ! [v2: ZF_ZF_Language_ZF_unit_Signature_ext$] :
% 79.66/11.62 (v1 = v0 | ~ (sigCod$c(v2) = v1) | ~ (sigCod$c(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_set$] : ! [v1: ZF_ZF_Expression_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.62 (baseFunctions$b(v2) = v1) | ~ (baseFunctions$b(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_ZF_fun$] : ! [v1: ZF_ZF_Expression_ZF_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~ (sigDom$b(v2) = v1)
% 79.66/11.62 | ~ (sigDom$b(v2) = v0)) & ! [v0: ZF_ZF_Expression_ZF_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_ZF_fun$] : ! [v2: ZF_ZF_ZF_Expression_unit_Signature_ext$]
% 79.66/11.62 : (v1 = v0 | ~ (sigCod$b(v2) = v1) | ~ (sigCod$b(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_set$] : ! [v1: ZF_ZF_Language_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~ (baseFunctions$a(v2)
% 79.66/11.62 = v1) | ~ (baseFunctions$a(v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_fun$] :
% 79.66/11.62 ! [v1: ZF_ZF_Language_ZF_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~ (sigDom$a(v2) = v1) |
% 79.66/11.62 ~ (sigDom$a(v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_fun$] : ! [v2: ZF_ZF_ZF_Language_unit_Signature_ext$] :
% 79.66/11.62 (v1 = v0 | ~ (sigCod$a(v2) = v1) | ~ (sigCod$a(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_ZF_Language_Language_set$] : ! [v1: ZF_ZF_ZF_Language_Language_set$]
% 79.66/11.62 : ! [v2: ZF_ZF_ZF_Language_Language_bool_fun$] : (v1 = v0 | ~ (collect$j(v2)
% 79.66/11.62 = v1) | ~ (collect$j(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_ZF_Expression_Language_set$] : ! [v1:
% 79.66/11.62 ZF_ZF_ZF_Expression_Language_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Expression_unit_Axioms_ext$] : (v1 = v0 | ~ (aAxioms$e(v2) = v1) |
% 79.66/11.62 ~ (aAxioms$e(v2) = v0)) & ! [v0: ZF_ZF_ZF_Expression_Language_set$] : !
% 79.66/11.62 [v1: ZF_ZF_ZF_Expression_Language_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_Expression_Language_bool_fun$] : (v1 = v0 | ~ (collect$i(v2) = v1)
% 79.66/11.62 | ~ (collect$i(v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_Language_set$] : !
% 79.66/11.62 [v1: ZF_ZF_Language_ZF_Language_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_Language_bool_fun$] : (v1 = v0 | ~ (collect$h(v2) = v1) |
% 79.66/11.62 ~ (collect$h(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language_set$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$] : (v1 = v0 | ~
% 79.66/11.62 (collect$g(v2) = v1) | ~ (collect$g(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_prod_ZF_fun_set$] : ! [v1: ZF_ZF_prod_ZF_fun_set$] : ! [v2:
% 79.66/11.62 ZF_ZF_prod_set$] : (v1 = v0 | ~ (extensional$a(v2) = v1) | ~
% 79.66/11.62 (extensional$a(v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2:
% 79.66/11.62 ZF_bool_fun$] : (v1 = v0 | ~ (the$(v2) = v1) | ~ (the$(v2) = v0)) & !
% 79.66/11.62 [v0: ZF_ZF_fun_set$] : ! [v1: ZF_ZF_fun_set$] : ! [v2: ZF_set$] : (v1 = v0 |
% 79.66/11.62 ~ (extensional$(v2) = v1) | ~ (extensional$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1
% 79.66/11.62 = v0 | ~ (inverse$(v2) = v1) | ~ (inverse$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_bool_fun_fun$] : ! [v1: ZF_ZF_bool_fun_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (objIso$(v2) = v1) | ~
% 79.66/11.62 (objIso$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.62 MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 79.66/11.62 (extCategory$(v2) = v1) | ~ (extCategory$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] :
% 79.66/11.62 (v1 = v0 | ~ (isomorphism$(v2) = v1) | ~ (isomorphism$(v2) = v0)) & ! [v0:
% 79.66/11.62 Unit$] : ! [v1: Unit$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 79.66/11.62 (more$b(v2) = v1) | ~ (more$b(v2) = v0)) & ! [v0: ZF_ZF_bool_fun_fun$] :
% 79.66/11.62 ! [v1: ZF_ZF_bool_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 |
% 79.66/11.62 ~ (inverse_rel$(v2) = v1) | ~ (inverse_rel$(v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (category_axioms$(v2) = v1) | ~
% 79.66/11.62 (category_axioms$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] :
% 79.66/11.62 ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (cod$(v2) = v1) | ~
% 79.66/11.62 (cod$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (dom$(v2) = v1) | ~ (dom$(v2) =
% 79.66/11.62 v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (id$(v2) = v1) | ~ (id$(v2) =
% 79.66/11.62 v0)) & ! [v0: ZF_ZF_IType$] : ! [v1: ZF_ZF_IType$] : ! [v2: ZF$] : (v1
% 79.66/11.62 = v0 | ~ (iObj$(v2) = v1) | ~ (iObj$(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_Language$] : ! [v1: ZF_ZF_Language_ZF_Language$] : !
% 79.66/11.62 [v2: ZF_ZF_Language$] : (v1 = v0 | ~ (type$e(v2) = v1) | ~ (type$e(v2) =
% 79.66/11.62 v0)) & ! [v0: ZF_ZF_Expression_ZF_Language$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_ZF_Language$] : ! [v2: ZF_ZF_Expression$] : (v1 = v0 | ~
% 79.66/11.62 (type$d(v2) = v1) | ~ (type$d(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_ZF_Language_Language$] : ! [v1: ZF_ZF_ZF_Language_Language$] : !
% 79.66/11.62 [v2: ZF$] : (v1 = v0 | ~ (type$c(v2) = v1) | ~ (type$c(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Language_Language$] : ! [v2: ZF_ZF_Language$] : (v1 =
% 79.66/11.62 v0 | ~ (type$b(v2) = v1) | ~ (type$b(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_ZF_Expression_Language$] : ! [v1: ZF_ZF_ZF_Expression_Language$] : !
% 79.66/11.62 [v2: ZF$] : (v1 = v0 | ~ (type$a(v2) = v1) | ~ (type$a(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Expression_Language$] : ! [v1:
% 79.66/11.62 ZF_ZF_Language_ZF_ZF_Expression_Language$] : ! [v2: ZF_ZF_Language$] : (v1
% 79.66/11.62 = v0 | ~ (type$(v2) = v1) | ~ (type$(v2) = v0)) & ! [v0: ZF_set$] : !
% 79.66/11.62 [v1: ZF_set$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (mor$(v2) =
% 79.66/11.62 v1) | ~ (mor$(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~ (more$a(v2) = v1) | ~
% 79.66/11.62 (more$a(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 79.66/11.62 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.62 (canonicalCat$a(v2) = v1) | ~ (canonicalCat$a(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.62 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~ (iFunctions$f(v2) =
% 79.66/11.62 v1) | ~ (iFunctions$f(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 79.66/11.62 ZF_ZF_fun$] : ! [v2: ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$] :
% 79.66/11.62 (v1 = v0 | ~ (iFunctions$e(v2) = v1) | ~ (iFunctions$e(v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.62 (interpretation$f(v2) = v1) | ~ (interpretation$f(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.62 (iCategory$f(v2) = v1) | ~ (iCategory$f(v2) = v0)) & ! [v0:
% 79.66/11.62 ZF_ZF_Expression_ZF_unit_Signature_ext$] : ! [v1:
% 79.66/11.62 ZF_ZF_Expression_ZF_unit_Signature_ext$] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.62 (iSignature$f(v2) = v1) | ~ (iSignature$f(v2) = v0)) & ! [v0:
% 79.66/11.62 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.62 ZF_ZF_Expression_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (signature$f(v2) =
% 79.66/11.62 v1) | ~ (signature$f(v2) = v0)) & ! [v0: ZF_ZF_Expression_set$] : !
% 79.66/11.62 [v1: ZF_ZF_Expression_set$] : ! [v2: ZF_ZF_Expression_ZF_unit_Signature_ext$]
% 79.66/11.62 : (v1 = v0 | ~ (baseTypes$f(v2) = v1) | ~ (baseTypes$f(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Expression_ZF_fun$] : ! [v1: ZF_ZF_Expression_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iTypes$f(v2) = v1) | ~ (iTypes$f(v2) = v0)) & ! [v0: ZF_ZF_fun$] : !
% 79.66/11.63 [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_Expression_ZF_ZF_ZF_unit_Interpretation_ext$]
% 79.66/11.63 : (v1 = v0 | ~ (iFunctions$d(v2) = v1) | ~ (iFunctions$d(v2) = v0)) & !
% 79.66/11.63 [v0: ZF_ZF_Language_ZF_fun$] : ! [v1: ZF_ZF_Language_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iFunctions$c(v2) = v1) | ~ (iFunctions$c(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_fun$] : ! [v1: ZF_ZF_Language_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iFunctions$b(v2) = v1) | ~ (iFunctions$b(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Expression_ZF_fun$] : ! [v1: ZF_ZF_Expression_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iFunctions$a(v2) = v1) | ~ (iFunctions$a(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Expression_ZF_fun$] : ! [v1: ZF_ZF_Expression_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iFunctions$(v2) = v1) | ~ (iFunctions$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_Language_set$] : ! [v1: ZF_ZF_Language_ZF_Language_set$]
% 79.66/11.63 : ! [v2: ZF_ZF_Language_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (theory$d(v2) =
% 79.66/11.63 v1) | ~ (theory$d(v2) = v0)) & ! [v0: ZF_ZF_Expression_ZF_Language_set$]
% 79.66/11.63 : ! [v1: ZF_ZF_Expression_ZF_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_Expression_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (theory$c(v2) = v1) |
% 79.66/11.63 ~ (theory$c(v2) = v0)) & ! [v0: ZF_ZF_ZF_Language_Language_set$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_Language_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~ (theory$b(v2) = v1) | ~
% 79.66/11.63 (theory$b(v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_ZF_Language_Language_set$]
% 79.66/11.63 : ! [v1: ZF_ZF_Language_ZF_ZF_Language_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (theory$a(v2) = v1) | ~ (theory$a(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_Language_set$] : ! [v1: ZF_ZF_Language_ZF_Language_set$]
% 79.66/11.63 : ! [v2: ZF_ZF_Language_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (aAxioms$d(v2) =
% 79.66/11.63 v1) | ~ (aAxioms$d(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_Expression_ZF_unit_Axioms_ext$] : (v1 =
% 79.66/11.63 v0 | ~ (axioms$e(v2) = v1) | ~ (axioms$e(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Expression_ZF_Language_set$] : ! [v1:
% 79.66/11.63 ZF_ZF_Expression_ZF_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_Expression_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (aAxioms$c(v2) = v1) |
% 79.66/11.63 ~ (aAxioms$c(v2) = v0)) & ! [v0: ZF_ZF_Expression_ZF_unit_Signature_ext$]
% 79.66/11.63 : ! [v1: ZF_ZF_Expression_ZF_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Expression_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (aSignature$e(v2) =
% 79.66/11.63 v1) | ~ (aSignature$e(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_ZF_Language_Language_set$] : ! [v1: ZF_ZF_ZF_Language_Language_set$]
% 79.66/11.63 : ! [v2: ZF_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~ (aAxioms$b(v2) =
% 79.66/11.63 v1) | ~ (aAxioms$b(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_Language_set$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (aAxioms$a(v2) = v1) | ~ (aAxioms$a(v2) = v0)) & ! [v0: ZF_ZF_fun$] : !
% 79.66/11.63 [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] :
% 79.66/11.63 (v1 = v0 | ~ (iTypes$e(v2) = v1) | ~ (iTypes$e(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iCategory$e(v2) = v1) | ~ (iCategory$e(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (interpretation$e(v2) = v1) | ~ (interpretation$e(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iSignature$e(v2) = v1) | ~ (iSignature$e(v2) = v0)) & ! [v0: ZF_ZF_fun$]
% 79.66/11.63 : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iTypes$d(v2) = v1) | ~ (iTypes$d(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iCategory$d(v2) = v1) | ~ (iCategory$d(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (interpretation$d(v2) = v1) | ~ (interpretation$d(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iSignature$d(v2) = v1) | ~ (iSignature$d(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_fun$] : ! [v1: ZF_ZF_Language_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iTypes$c(v2) = v1) | ~ (iTypes$c(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iCategory$c(v2) = v1) | ~ (iCategory$c(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (interpretation$c(v2) = v1) | ~ (interpretation$c(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.66/11.63 (iSignature$c(v2) = v1) | ~ (iSignature$c(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_fun$] : ! [v1: ZF_ZF_Language_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iTypes$b(v2) = v1) | ~ (iTypes$b(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iCategory$b(v2) = v1) | ~ (iCategory$b(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (interpretation$b(v2) = v1) | ~ (interpretation$b(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iSignature$b(v2) = v1) | ~ (iSignature$b(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_fun$] : ! [v1: ZF_ZF_Language_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iTypes$a(v2) = v1) | ~ (iTypes$a(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iCategory$a(v2) = v1) | ~ (iCategory$a(v2) = v0)) & ! [v0: ZF_set$] :
% 79.66/11.63 ! [v1: ZF_set$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (obj$(v2)
% 79.66/11.63 = v1) | ~ (obj$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (interpretation$a(v2) = v1) | ~ (interpretation$a(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 |
% 79.66/11.63 ~ (iSignature$a(v2) = v1) | ~ (iSignature$a(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (canonicalCat$(v2) = v1) | ~
% 79.66/11.63 (canonicalCat$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (canonicalComp$(v2) = v1) | ~ (canonicalComp$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~ (iTypes$(v2) = v1) |
% 79.66/11.63 ~ (iTypes$(v2) = v0)) & ! [v0: ZF_ZF_Language_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_bool_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (theoryp$(v2) = v1) | ~ (theoryp$(v2) = v0)) & ! [v0: Unit$] : ! [v1:
% 79.66/11.63 Unit$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (more$(v2) = v1) |
% 79.66/11.63 ~ (more$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0
% 79.66/11.63 | ~ (axioms$d(v2) = v1) | ~ (axioms$d(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_unit_Axioms_ext$] : (v1 = v0 | ~ (axioms$c(v2) = v1) |
% 79.66/11.63 ~ (axioms$c(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_Language_ZF_unit_Axioms_ext$] : (v1 = v0
% 79.66/11.63 | ~ (axioms$b(v2) = v1) | ~ (axioms$b(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (axioms$a(v2) = v1) | ~ (axioms$a(v2) = v0)) & ! [v0: ZF_set$] : ! [v1:
% 79.66/11.63 ZF_set$] : ! [v2: ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (baseTypes$e(v2) = v1) | ~ (baseTypes$e(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~ (signature$e(v2) =
% 79.66/11.63 v1) | ~ (signature$e(v2) = v0)) & ! [v0: ZF_set$] : ! [v1: ZF_set$] :
% 79.66/11.63 ! [v2: ZF_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~ (baseTypes$d(v2)
% 79.66/11.63 = v1) | ~ (baseTypes$d(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_ZF_Expression_unit_Signature_ext$] : (v1
% 79.66/11.63 = v0 | ~ (signature$d(v2) = v1) | ~ (signature$d(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_set$] : ! [v1: ZF_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~ (baseTypes$c(v2) =
% 79.66/11.63 v1) | ~ (baseTypes$c(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_Language_ZF_unit_Signature_ext$] : (v1 =
% 79.66/11.63 v0 | ~ (signature$c(v2) = v1) | ~ (signature$c(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_set$] : ! [v1: ZF_ZF_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_unit_Signature_ext$] : (v1 = v0 | ~ (baseTypes$b(v2) =
% 79.66/11.63 v1) | ~ (baseTypes$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (signature$b(v2) = v1) | ~ (signature$b(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_set$] : ! [v1: ZF_ZF_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (baseTypes$a(v2) = v1) | ~ (baseTypes$a(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (signature$a(v2) = v1) | ~ (signature$a(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_set$] : ! [v1: ZF_ZF_Language_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Expression_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (baseTypes$(v2) = v1) | ~ (baseTypes$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_set$] : ! [v1:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_bool_fun$] : (v1 = v0 | ~ (collect$f(v2) = v1)
% 79.66/11.63 | ~ (collect$f(v2) = v0)) & ! [v0: ZF_ZF_Expression_set$] : ! [v1:
% 79.66/11.63 ZF_ZF_Expression_set$] : ! [v2: ZF_ZF_Expression_bool_fun$] : (v1 = v0 | ~
% 79.66/11.63 (collect$e(v2) = v1) | ~ (collect$e(v2) = v0)) & ! [v0: ZF_set$] : ! [v1:
% 79.66/11.63 ZF_set$] : ! [v2: ZF_bool_fun$] : (v1 = v0 | ~ (collect$d(v2) = v1) | ~
% 79.66/11.63 (collect$d(v2) = v0)) & ! [v0: ZF_ZF_Language_set$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_set$] : ! [v2: ZF_ZF_Language_bool_fun$] : (v1 = v0 | ~
% 79.66/11.63 (collect$c(v2) = v1) | ~ (collect$c(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_prod_ZF_fun_set$] : ! [v1: ZF_ZF_prod_ZF_fun_set$] : ! [v2:
% 79.66/11.63 ZF_ZF_prod_ZF_fun_bool_fun$] : (v1 = v0 | ~ (collect$b(v2) = v1) | ~
% 79.66/11.63 (collect$b(v2) = v0)) & ! [v0: ZF_ZF_fun_set$] : ! [v1: ZF_ZF_fun_set$] :
% 79.66/11.63 ! [v2: ZF_ZF_fun_bool_fun$] : (v1 = v0 | ~ (collect$a(v2) = v1) | ~
% 79.66/11.63 (collect$a(v2) = v0)) & ! [v0: ZF_ZF_IType$] : ! [v1: ZF_ZF_IType$] : !
% 79.66/11.63 [v2: ZF$] : (v1 = v0 | ~ (iMor$(v2) = v1) | ~ (iMor$(v2) = v0)) & ! [v0:
% 79.66/11.63 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (zFAxioms_axioms$(v2) = v1) | ~
% 79.66/11.63 (zFAxioms_axioms$(v2) = v0)) & ! [v0: ZF_ZF_Language_set$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_set$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (aAxioms$(v2) = v1) | ~ (aAxioms$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~ (iCategory$(v2) = v1)
% 79.66/11.63 | ~ (iCategory$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 79.66/11.63 (category$(v2) = v1) | ~ (category$(v2) = v0)) & ! [v0: MultipleValueBool]
% 79.66/11.63 : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (axioms$(v2) = v1) | ~ (axioms$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_Signature_ext$] : ! [v1: ZF_ZF_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~ (iSignature$(v2) = v1)
% 79.66/11.63 | ~ (iSignature$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (signature$(v2) = v1) | ~ (signature$(v2) = v0)) & ! [v0: ZF_ZF_IType$] :
% 79.66/11.63 ! [v1: ZF_ZF_IType$] : ! [v2: tlbool] : (v1 = v0 | ~ (iBool$(v2) = v1) | ~
% 79.66/11.63 (iBool$(v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2: ZF_ZF_unit_Axioms_ext$] :
% 79.66/11.63 (v1 = v0 | ~ (canonicalInterpretation$(v2) = v1) | ~
% 79.66/11.63 (canonicalInterpretation$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 79.66/11.63 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 =
% 79.66/11.63 v0 | ~ (interpretation$(v2) = v1) | ~ (interpretation$(v2) = v0)) & !
% 79.66/11.63 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (zFAxioms$(v2) = v1) | ~
% 79.66/11.63 (zFAxioms$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (cLDomain$(v2) = v1) | ~
% 79.66/11.63 (cLDomain$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (cLCodomain$(v2) = v1) | ~
% 79.66/11.63 (cLCodomain$(v2) = v0)) & ! [v0: ZF_ZF_Expression_ZF_ZF_Expression_fun$] :
% 79.66/11.63 ! [v1: ZF_ZF_Expression_ZF_ZF_Expression_fun$] : ! [v2: ZF_ZF_Expression$] :
% 79.66/11.63 (v1 = v0 | ~ (subst$(v2) = v1) | ~ (subst$(v2) = v0)) & ! [v0: ZF_set$] :
% 79.66/11.63 ! [v1: ZF_set$] : ! [v2: ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (baseFunctions$(v2) = v1) | ~ (baseFunctions$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (uuh$(v2) = v1) | ~ (uuh$(v2) =
% 79.66/11.63 v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (comp$(v2) = v1) | ~ (comp$(v2) =
% 79.66/11.63 v0)) & ! [v0: ZF_ZF_prod_ZF_fun$] : ! [v1: ZF_ZF_prod_ZF_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (case_prod$(v2) = v1) | ~
% 79.66/11.63 (case_prod$(v2) = v0)) & ! [v0: ZF_ZF_prod_set$] : ! [v1: ZF_ZF_prod_set$]
% 79.66/11.63 : ! [v2: ZF_ZF_prod_bool_fun$] : (v1 = v0 | ~ (collect$(v2) = v1) | ~
% 79.66/11.63 (collect$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 79.66/11.63 (uuu$(v2) = v1) | ~ (uuu$(v2) = v0)) & ! [v0: ZF_ZF_Language_bool_fun$] :
% 79.66/11.63 ! [v1: ZF_ZF_Language_bool_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0
% 79.66/11.63 | ~ (uut$(v2) = v1) | ~ (uut$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_ZF_Language_Language_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_Language_Language_bool_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~ (uus$(v2) = v1) | ~
% 79.66/11.63 (uus$(v2) = v0)) & ! [v0: ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_Language_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~ (aSignature$d(v2) = v1)
% 79.66/11.63 | ~ (aSignature$d(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_ZF_Expression_Language_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_ZF_Expression_Language_bool_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_unit_Axioms_ext$] : (v1 = v0 | ~ (uur$(v2) = v1) | ~
% 79.66/11.63 (uur$(v2) = v0)) & ! [v0: ZF_ZF_ZF_Expression_unit_Signature_ext$] : !
% 79.66/11.63 [v1: ZF_ZF_ZF_Expression_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_ZF_Expression_unit_Axioms_ext$] : (v1 = v0 | ~ (aSignature$c(v2) =
% 79.66/11.63 v1) | ~ (aSignature$c(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_Language_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_Language_bool_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (uuq$(v2) = v1) | ~
% 79.66/11.63 (uuq$(v2) = v0)) & ! [v0: ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (aSignature$b(v2) = v1)
% 79.66/11.63 | ~ (aSignature$b(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_Language_bool_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~ (uup$(v2) =
% 79.66/11.63 v1) | ~ (uup$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Signature_ext$] : ! [v2:
% 79.66/11.63 ZF_ZF_Language_ZF_ZF_Language_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (aSignature$a(v2) = v1) | ~ (aSignature$a(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_bool_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] :
% 79.66/11.63 (v1 = v0 | ~ (uuy$(v2) = v1) | ~ (uuy$(v2) = v0)) & ! [v0: ZF_bool_fun$] :
% 79.66/11.63 ! [v1: ZF_bool_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (uul$(v2) = v1) | ~ (uul$(v2) = v0)) & ! [v0: ZF_ZF_Language_bool_fun$] :
% 79.66/11.63 ! [v1: ZF_ZF_Language_bool_fun$] : ! [v2: ZF_ZF_unit_Signature_ext$] : (v1 =
% 79.66/11.63 v0 | ~ (wellDefined$(v2) = v1) | ~ (wellDefined$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_prod_bool_fun$] : ! [v1: ZF_ZF_prod_bool_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (uuo$(v2) = v1) | ~ (uuo$(v2) =
% 79.66/11.63 v0)) & ! [v0: ZF_ZF_bool_fun_fun$] : ! [v1: ZF_ZF_bool_fun_fun$] : !
% 79.66/11.63 [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (compDefined$(v2) = v1) | ~
% 79.66/11.63 (compDefined$(v2) = v0)) & ! [v0: ZF_ZF_fun_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_fun_bool_fun$] : ! [v2: ZF_ZF_fun_set$] : (v1 = v0 | ~ (uu$(v2) =
% 79.66/11.63 v1) | ~ (uu$(v2) = v0)) & ! [v0: ZF_ZF_prod_ZF_fun_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_prod_ZF_fun_bool_fun$] : ! [v2: ZF_ZF_prod_ZF_fun_set$] : (v1 = v0 |
% 79.66/11.63 ~ (uua$(v2) = v1) | ~ (uua$(v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_bool_fun$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (uud$(v2) = v1) | ~
% 79.66/11.63 (uud$(v2) = v0)) & ! [v0: ZF_ZF_prod_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_prod_bool_fun$] : ! [v2: ZF_ZF_prod_set$] : (v1 = v0 | ~ (uub$(v2) =
% 79.66/11.63 v1) | ~ (uub$(v2) = v0)) & ! [v0: ZF_ZF_Language_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_bool_fun$] : ! [v2: ZF_ZF_Language_set$] : (v1 = v0 | ~
% 79.66/11.63 (uuc$(v2) = v1) | ~ (uuc$(v2) = v0)) & ! [v0: ZF_ZF_Expression_bool_fun$]
% 79.66/11.63 : ! [v1: ZF_ZF_Expression_bool_fun$] : ! [v2: ZF_ZF_Expression_set$] : (v1 =
% 79.66/11.63 v0 | ~ (uue$(v2) = v1) | ~ (uue$(v2) = v0)) & ! [v0:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_bool_fun$] : ! [v2:
% 79.66/11.63 ZF_ZF_unit_TermEquivClT_ext_set$] : (v1 = v0 | ~ (uuf$(v2) = v1) | ~
% 79.66/11.63 (uuf$(v2) = v0)) & ! [v0: ZF_ZF_Language_bool_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_Language_bool_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (uug$(v2) = v1) | ~ (uug$(v2) = v0)) & ! [v0: ZF_ZF_Language_set$] : !
% 79.66/11.63 [v1: ZF_ZF_Language_set$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (theory$(v2) = v1) | ~ (theory$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (uum$(v2) =
% 79.66/11.63 v1) | ~ (uum$(v2) = v0)) & ! [v0: ZF_ZF_unit_Signature_ext$] : ! [v1:
% 79.66/11.63 ZF_ZF_unit_Signature_ext$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.66/11.63 (aSignature$(v2) = v1) | ~ (aSignature$(v2) = v0)) & ! [v0: ZF_ZF_fun$] :
% 79.66/11.63 ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (sigDom$(v2) = v1) | ~ (sigDom$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Signature_ext$] : (v1 = v0 | ~
% 79.66/11.63 (sigCod$(v2) = v1) | ~ (sigCod$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 79.66/11.63 ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (uuw$(v2) =
% 79.66/11.63 v1) | ~ (uuw$(v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: int] :
% 79.66/11.63 (v1 = v0 | ~ (nat$(v2) = v1) | ~ (nat$(v2) = v0))
% 79.66/11.63
% 79.66/11.63 Further assumptions not needed in the proof:
% 79.66/11.63 --------------------------------------------
% 79.66/11.63 axiom0, axiom1, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104,
% 79.66/11.63 axiom105, axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111,
% 79.66/11.63 axiom112, axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119,
% 79.66/11.63 axiom12, axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126,
% 79.66/11.63 axiom127, axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133,
% 79.66/11.63 axiom134, axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140,
% 79.66/11.63 axiom141, axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148,
% 79.66/11.63 axiom149, axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155,
% 79.66/11.63 axiom156, axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162,
% 79.66/11.63 axiom163, axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom17,
% 79.66/11.63 axiom170, axiom171, axiom172, axiom173, axiom174, axiom175, axiom176, axiom177,
% 79.66/11.63 axiom178, axiom179, axiom18, axiom180, axiom181, axiom182, axiom183, axiom184,
% 79.66/11.63 axiom185, axiom186, axiom187, axiom188, axiom189, axiom19, axiom190, axiom191,
% 79.66/11.63 axiom192, axiom193, axiom194, axiom195, axiom196, axiom197, axiom198, axiom199,
% 79.66/11.63 axiom2, axiom20, axiom200, axiom201, axiom202, axiom203, axiom204, axiom205,
% 79.66/11.63 axiom206, axiom207, axiom208, axiom209, axiom21, axiom210, axiom211, axiom212,
% 79.66/11.63 axiom213, axiom214, axiom215, axiom216, axiom217, axiom218, axiom219, axiom22,
% 79.66/11.63 axiom220, axiom221, axiom222, axiom223, axiom224, axiom225, axiom226, axiom227,
% 79.66/11.63 axiom228, axiom229, axiom23, axiom230, axiom231, axiom232, axiom233, axiom234,
% 79.66/11.63 axiom235, axiom236, axiom237, axiom238, axiom239, axiom24, axiom240, axiom241,
% 79.66/11.63 axiom242, axiom243, axiom244, axiom245, axiom246, axiom247, axiom248, axiom249,
% 79.66/11.63 axiom25, axiom250, axiom251, axiom252, axiom253, axiom254, axiom255, axiom256,
% 79.66/11.63 axiom257, axiom258, axiom259, axiom26, axiom260, axiom261, axiom262, axiom263,
% 79.66/11.63 axiom264, axiom265, axiom266, axiom267, axiom268, axiom269, axiom270, axiom271,
% 79.66/11.63 axiom272, axiom273, axiom274, axiom275, axiom276, axiom277, axiom278, axiom279,
% 79.66/11.63 axiom280, axiom281, axiom282, axiom283, axiom284, axiom285, axiom286, axiom287,
% 79.66/11.63 axiom288, axiom289, axiom290, axiom291, axiom292, axiom293, axiom294, axiom295,
% 79.66/11.63 axiom296, axiom297, axiom298, axiom299, axiom3, axiom300, axiom301, axiom302,
% 79.66/11.63 axiom303, axiom304, axiom305, axiom306, axiom307, axiom308, axiom309, axiom31,
% 79.66/11.63 axiom310, axiom311, axiom312, axiom313, axiom314, axiom315, axiom316, axiom317,
% 79.66/11.63 axiom318, axiom319, axiom32, axiom320, axiom321, axiom322, axiom323, axiom324,
% 79.66/11.63 axiom325, axiom326, axiom327, axiom328, axiom329, axiom33, axiom330, axiom331,
% 79.66/11.63 axiom332, axiom333, axiom334, axiom335, axiom336, axiom337, axiom338, axiom339,
% 79.66/11.63 axiom34, axiom340, axiom341, axiom342, axiom343, axiom344, axiom345, axiom346,
% 79.66/11.63 axiom347, axiom348, axiom349, axiom35, axiom350, axiom351, axiom352, axiom353,
% 79.66/11.63 axiom354, axiom355, axiom356, axiom357, axiom358, axiom359, axiom36, axiom360,
% 79.66/11.63 axiom361, axiom362, axiom363, axiom364, axiom365, axiom366, axiom367, axiom368,
% 79.66/11.63 axiom369, axiom37, axiom370, axiom371, axiom372, axiom373, axiom374, axiom375,
% 79.66/11.63 axiom376, axiom377, axiom378, axiom379, axiom38, axiom380, axiom381, axiom382,
% 79.66/11.63 axiom383, axiom384, axiom385, axiom386, axiom387, axiom388, axiom389, axiom39,
% 79.66/11.63 axiom390, axiom391, axiom392, axiom393, axiom394, axiom395, axiom396, axiom397,
% 79.66/11.63 axiom398, axiom399, axiom4, axiom40, axiom400, axiom401, axiom402, axiom403,
% 79.66/11.63 axiom404, axiom405, axiom406, axiom407, axiom408, axiom409, axiom41, axiom410,
% 79.66/11.63 axiom411, axiom412, axiom413, axiom414, axiom415, axiom416, axiom417, axiom418,
% 79.66/11.63 axiom419, axiom42, axiom420, axiom421, axiom422, axiom423, axiom424, axiom425,
% 79.66/11.63 axiom426, axiom427, axiom428, axiom429, axiom43, axiom430, axiom431, axiom432,
% 79.66/11.63 axiom433, axiom434, axiom435, axiom436, axiom437, axiom438, axiom439, axiom44,
% 79.66/11.63 axiom440, axiom441, axiom442, axiom443, axiom444, axiom445, axiom446, axiom447,
% 79.66/11.63 axiom448, axiom449, axiom45, axiom450, axiom451, axiom452, axiom453, axiom454,
% 79.66/11.63 axiom455, axiom456, axiom457, axiom458, axiom459, axiom460, axiom461, axiom462,
% 79.66/11.63 axiom463, axiom464, axiom465, axiom466, axiom467, axiom468, axiom469, axiom47,
% 79.66/11.63 axiom470, axiom471, axiom472, axiom473, axiom474, axiom475, axiom476, axiom477,
% 79.66/11.63 axiom478, axiom479, axiom48, axiom480, axiom481, axiom482, axiom483, axiom484,
% 79.66/11.63 axiom485, axiom486, axiom487, axiom488, axiom489, axiom490, axiom491, axiom492,
% 79.66/11.63 axiom493, axiom494, axiom495, axiom496, axiom497, axiom498, axiom499, axiom5,
% 79.66/11.63 axiom500, axiom501, axiom502, axiom503, axiom504, axiom505, axiom506, axiom507,
% 79.66/11.63 axiom508, axiom509, axiom51, axiom510, axiom511, axiom512, axiom513, axiom514,
% 79.66/11.63 axiom515, axiom516, axiom517, axiom518, axiom519, axiom52, axiom520, axiom521,
% 79.66/11.63 axiom522, axiom523, axiom524, axiom525, axiom526, axiom527, axiom528, axiom529,
% 79.66/11.63 axiom53, axiom530, axiom531, axiom532, axiom533, axiom534, axiom535, axiom536,
% 79.66/11.64 axiom537, axiom538, axiom539, axiom54, axiom540, axiom541, axiom542, axiom543,
% 79.66/11.64 axiom544, axiom545, axiom546, axiom547, axiom548, axiom549, axiom55, axiom550,
% 79.66/11.64 axiom551, axiom552, axiom553, axiom554, axiom555, axiom556, axiom557, axiom558,
% 79.66/11.64 axiom559, axiom56, axiom560, axiom561, axiom57, axiom58, axiom59, axiom6,
% 79.66/11.64 axiom60, axiom61, axiom62, axiom63, axiom64, axiom67, axiom68, axiom7, axiom70,
% 79.66/11.64 axiom71, axiom72, axiom73, axiom74, axiom75, axiom76, axiom77, axiom78, axiom79,
% 79.66/11.64 axiom8, axiom80, axiom81, axiom82, axiom83, axiom84, axiom85, axiom86, axiom87,
% 79.66/11.64 axiom88, axiom9, axiom90, axiom91, axiom92, axiom93, axiom94, axiom95, axiom96,
% 79.66/11.64 axiom97, axiom98, axiom99, formula_563, formula_564, formula_565, formula_566,
% 79.66/11.64 formula_567, formula_568
% 79.66/11.64
% 79.66/11.64 Those formulas are unsatisfiable:
% 79.66/11.64 ---------------------------------
% 79.66/11.64
% 79.66/11.64 Begin of proof
% 79.66/11.64 |
% 79.66/11.64 | ALPHA: (axiom28) implies:
% 79.66/11.64 | (1) zFAxioms$(t$) = 0
% 79.66/11.64 |
% 79.66/11.64 | ALPHA: (axiom30) implies:
% 79.66/11.64 | (2) ZF_ZF_Language$(phi$)
% 79.66/11.64 | (3) ? [v0: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ? [v1: ZF_ZF_IType$] :
% 79.66/11.64 | (iBool$(tltrue) = v1 & interp$(v0, phi$, v1) = 0 &
% 79.66/11.64 | canonicalInterpretation$(t$) = v0 &
% 79.66/11.64 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) & ZF_ZF_IType$(v1))
% 79.66/11.64 |
% 79.66/11.64 | ALPHA: (axiom46) implies:
% 79.66/11.64 | (4) ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 & ZF_ZF_IType$(v0) & !
% 79.66/11.64 | [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.64 | ZF_ZF_unit_Axioms_ext$] : ! [v3: ZF_ZF_Language$] : ! [v4:
% 79.66/11.64 | ZF_ZF_Language_set$] : ! [v5: int] : (v5 = 0 | ~ (aAxioms$(v2) =
% 79.66/11.64 | v4) | ~ (interp$(v1, v3, v0) = v5) | ~ (member$(v3, v4) = 0) |
% 79.66/11.64 | ~ ZF_ZF_unit_Axioms_ext$(v2) | ~
% 79.66/11.64 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ~ ZF_ZF_Language$(v3) |
% 79.66/11.64 | ? [v6: int] : ( ~ (v6 = 0) & model$(v1, v2) = v6)))
% 79.66/11.64 |
% 79.66/11.64 | ALPHA: (axiom49) implies:
% 79.66/11.64 | (5) ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 & ZF_ZF_IType$(v0) & !
% 79.66/11.64 | [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.64 | ZF_ZF_unit_Axioms_ext$] : ! [v3: ZF_ZF_Language$] : ! [v4:
% 79.66/11.64 | ZF_ZF_Language_set$] : ! [v5: int] : (v5 = 0 | ~ (interp$(v1, v3,
% 79.66/11.64 | v0) = v5) | ~ (theory$(v2) = v4) | ~ (member$(v3, v4) = 0) |
% 79.66/11.64 | ~ ZF_ZF_unit_Axioms_ext$(v2) | ~
% 79.66/11.64 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ~ ZF_ZF_Language$(v3) |
% 79.66/11.64 | ? [v6: int] : ( ~ (v6 = 0) & model$(v1, v2) = v6)))
% 79.66/11.64 |
% 79.66/11.64 | ALPHA: (axiom65) implies:
% 79.66/11.64 | (6) ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 & ZF_ZF_IType$(v0) & !
% 79.66/11.64 | [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.64 | ZF_ZF_unit_Axioms_ext$] : ! [v3: int] : (v3 = 0 | ~
% 79.66/11.64 | (model_axioms$(v1, v2) = v3) | ~ ZF_ZF_unit_Axioms_ext$(v2) | ~
% 79.66/11.64 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ? [v4:
% 79.66/11.64 | ZF_ZF_Language_set$] : ? [v5: ZF_ZF_unit_Signature_ext$] : ?
% 79.66/11.64 | [v6: ZF_ZF_unit_Signature_ext$] : (aAxioms$(v2) = v4 &
% 79.66/11.64 | iSignature$(v1) = v6 & aSignature$(v2) = v5 &
% 79.66/11.64 | ZF_ZF_unit_Signature_ext$(v6) & ZF_ZF_unit_Signature_ext$(v5) &
% 79.66/11.64 | ZF_ZF_Language_set$(v4) & ( ~ (v6 = v5) | ? [v7:
% 79.66/11.64 | ZF_ZF_Language$] : ? [v8: int] : ( ~ (v8 = 0) & interp$(v1,
% 79.66/11.64 | v7, v0) = v8 & member$(v7, v4) = 0 &
% 79.66/11.64 | ZF_ZF_Language$(v7))))) & ! [v1:
% 79.66/11.64 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.66/11.64 | ZF_ZF_unit_Axioms_ext$] : ( ~ (model_axioms$(v1, v2) = 0) | ~
% 79.66/11.64 | ZF_ZF_unit_Axioms_ext$(v2) | ~
% 79.66/11.64 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ? [v3:
% 79.66/11.64 | ZF_ZF_Language_set$] : ? [v4: ZF_ZF_unit_Signature_ext$] :
% 79.66/11.64 | (aAxioms$(v2) = v3 & iSignature$(v1) = v4 & aSignature$(v2) = v4 &
% 79.66/11.64 | ZF_ZF_unit_Signature_ext$(v4) & ZF_ZF_Language_set$(v3) & ! [v5:
% 79.66/11.64 | ZF_ZF_Language$] : ! [v6: int] : (v6 = 0 | ~ (interp$(v1, v5,
% 79.66/11.64 | v0) = v6) | ~ ZF_ZF_Language$(v5) | ? [v7: int] : ( ~ (v7
% 79.66/11.64 | = 0) & member$(v5, v3) = v7)))))
% 79.66/11.64 |
% 79.66/11.64 | ALPHA: (axiom66) implies:
% 79.66/11.65 | (7) ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 & ZF_ZF_IType$(v0) & !
% 79.66/11.65 | [v1: ZF_ZF_unit_Axioms_ext$] : ! [v2:
% 79.66/11.65 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v3: int] : (v3 = 0 | ~
% 79.66/11.65 | (model_axioms$(v2, v1) = v3) | ~ ZF_ZF_unit_Axioms_ext$(v1) | ~
% 79.66/11.65 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v2) | ? [v4:
% 79.66/11.65 | ZF_ZF_Language_set$] : ? [v5: ZF_ZF_unit_Signature_ext$] : ?
% 79.66/11.65 | [v6: ZF_ZF_unit_Signature_ext$] : (aAxioms$(v1) = v4 &
% 79.66/11.65 | iSignature$(v2) = v6 & aSignature$(v1) = v5 &
% 79.66/11.65 | ZF_ZF_unit_Signature_ext$(v6) & ZF_ZF_unit_Signature_ext$(v5) &
% 79.66/11.65 | ZF_ZF_Language_set$(v4) & ( ~ (v6 = v5) | ? [v7:
% 79.66/11.65 | ZF_ZF_Language$] : ? [v8: int] : ( ~ (v8 = 0) & interp$(v2,
% 79.66/11.65 | v7, v0) = v8 & member$(v7, v4) = 0 &
% 79.66/11.65 | ZF_ZF_Language$(v7))))))
% 79.66/11.65 |
% 79.66/11.65 | ALPHA: (axiom69) implies:
% 79.84/11.65 | (8) ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 & ZF_ZF_IType$(v0) & !
% 79.84/11.65 | [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2: ZF$] : ! [v3:
% 79.84/11.65 | ZF_ZF_Expression$] : ! [v4: ZF$] : ! [v5: ZF$] : ! [v6:
% 79.84/11.65 | ZF_ZF_Expression$] : ! [v7: ZF_ZF_ZF_Language_fun$] : ! [v8:
% 79.84/11.65 | ZF_ZF_Language$] : ! [v9: ZF_ZF_IType$] : ! [v10:
% 79.84/11.65 | ZF_ZF_ZF_Language_fun$] : ! [v11: ZF_ZF_Language$] : ! [v12: int]
% 79.84/11.65 | : (v12 = 0 | ~ (iMor$(v5) = v9) | ~ (interp$(v1, v11, v0) = v12) |
% 79.84/11.65 | ~ (interp$(v1, v8, v9) = 0) | ~ (equation$d(v2, v3, v6) = v10) |
% 79.84/11.65 | ~ (term$(v2, v3) = v7) | ~ (fun_app$l(v10, v4) = v11) | ~
% 79.84/11.65 | (fun_app$l(v7, v4) = v8) | ~ ZF$(v5) | ~ ZF$(v4) | ~ ZF$(v2) |
% 79.84/11.65 | ~ ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ~
% 79.84/11.65 | ZF_ZF_Expression$(v6) | ~ ZF_ZF_Expression$(v3) | ? [v13: any] :
% 79.84/11.65 | ? [v14: ZF_ZF_ZF_Language_fun$] : ? [v15: ZF_ZF_Language$] : ?
% 79.84/11.65 | [v16: any] : (interp$(v1, v15, v9) = v16 & interpretation$(v1) =
% 79.84/11.65 | v13 & term$(v2, v6) = v14 & fun_app$l(v14, v4) = v15 &
% 79.84/11.65 | ZF_ZF_ZF_Language_fun$(v14) & ZF_ZF_Language$(v15) & ( ~ (v16 =
% 79.84/11.65 | 0) | ~ (v13 = 0)))))
% 79.84/11.65 |
% 79.84/11.65 | ALPHA: (axiom89) implies:
% 79.84/11.65 | (9) ? [v0: ZF_ZF_IType$] : (iBool$(tltrue) = v0 & ZF_ZF_IType$(v0) & !
% 79.84/11.65 | [v1: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2: ZF$] : ! [v3:
% 79.84/11.65 | ZF_ZF_Expression$] : ! [v4: ZF_ZF_Expression$] : ! [v5: ZF$] : !
% 79.84/11.65 | [v6: ZF_ZF_ZF_Language_fun$] : ! [v7: ZF_ZF_Language$] : ( ~
% 79.84/11.65 | (interp$(v1, v7, v0) = 0) | ~ (equation$d(v2, v3, v4) = v6) | ~
% 79.84/11.65 | (fun_app$l(v6, v5) = v7) | ~ ZF$(v5) | ~ ZF$(v2) | ~
% 79.84/11.65 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ~ ZF_ZF_Expression$(v4)
% 79.84/11.65 | | ~ ZF_ZF_Expression$(v3) | ? [v8: any] : ? [v9:
% 79.84/11.65 | ZF_ZF_ZF_Language_fun$] : ? [v10: ZF_ZF_Language$] : ? [v11:
% 79.84/11.65 | ZF_ZF_ZF_Language_fun$] : ? [v12: ZF_ZF_Language$] :
% 79.84/11.65 | (interpretation$(v1) = v8 & term$(v2, v4) = v11 & term$(v2, v3) =
% 79.84/11.65 | v9 & fun_app$l(v11, v5) = v12 & fun_app$l(v9, v5) = v10 &
% 79.84/11.65 | ZF_ZF_ZF_Language_fun$(v11) & ZF_ZF_ZF_Language_fun$(v9) &
% 79.84/11.65 | ZF_ZF_Language$(v12) & ZF_ZF_Language$(v10) & ( ~ (v8 = 0) | ?
% 79.84/11.65 | [v13: ZF$] : ? [v14: ZF_ZF_IType$] : (iMor$(v13) = v14 &
% 79.84/11.65 | interp$(v1, v12, v14) = 0 & interp$(v1, v10, v14) = 0 &
% 79.84/11.65 | ZF$(v13) & ZF_ZF_IType$(v14))))))
% 79.84/11.65 |
% 79.84/11.65 | ALPHA: (conjecture27) implies:
% 79.84/11.65 | (10) ZF_ZF_unit_Axioms_ext$(t$)
% 79.84/11.65 | (11) ? [v0: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ? [v1: int] : ( ~ (v1
% 79.84/11.65 | = 0) & canonicalInterpretation$(t$) = v0 & interpretation$(v0) =
% 79.84/11.65 | v1 & ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0))
% 79.84/11.65 |
% 79.84/11.65 | ALPHA: (function-axioms) implies:
% 79.84/11.65 | (12) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.84/11.65 | ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~ (zFAxioms$(v2) = v1) | ~
% 79.84/11.65 | (zFAxioms$(v2) = v0))
% 79.84/11.65 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 79.84/11.65 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : (v1 = v0 | ~
% 79.84/11.65 | (interpretation$(v2) = v1) | ~ (interpretation$(v2) = v0))
% 79.84/11.66 | (14) ! [v0: ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2:
% 79.84/11.66 | ZF_ZF_unit_Axioms_ext$] : (v1 = v0 | ~
% 79.84/11.66 | (canonicalInterpretation$(v2) = v1) | ~
% 79.84/11.66 | (canonicalInterpretation$(v2) = v0))
% 79.84/11.66 | (15) ! [v0: ZF_ZF_IType$] : ! [v1: ZF_ZF_IType$] : ! [v2: tlbool] : (v1
% 79.84/11.66 | = v0 | ~ (iBool$(v2) = v1) | ~ (iBool$(v2) = v0))
% 79.84/11.66 |
% 79.84/11.66 | DELTA: instantiating (11) with fresh symbols all_711_0, all_711_1 gives:
% 79.84/11.66 | (16) ~ (all_711_0 = 0) & canonicalInterpretation$(t$) = all_711_1 &
% 79.84/11.66 | interpretation$(all_711_1) = all_711_0 &
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(all_711_1)
% 79.84/11.66 |
% 79.84/11.66 | ALPHA: (16) implies:
% 79.84/11.66 | (17) ~ (all_711_0 = 0)
% 79.84/11.66 | (18) interpretation$(all_711_1) = all_711_0
% 79.84/11.66 | (19) canonicalInterpretation$(t$) = all_711_1
% 79.84/11.66 |
% 79.84/11.66 | DELTA: instantiating (3) with fresh symbols all_719_0, all_719_1 gives:
% 79.84/11.66 | (20) iBool$(tltrue) = all_719_0 & interp$(all_719_1, phi$, all_719_0) = 0 &
% 79.84/11.66 | canonicalInterpretation$(t$) = all_719_1 &
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(all_719_1) &
% 79.84/11.66 | ZF_ZF_IType$(all_719_0)
% 79.84/11.66 |
% 79.84/11.66 | ALPHA: (20) implies:
% 79.84/11.66 | (21) ZF_ZF_ZF_ZF_unit_Interpretation_ext$(all_719_1)
% 79.84/11.66 | (22) canonicalInterpretation$(t$) = all_719_1
% 79.84/11.66 | (23) interp$(all_719_1, phi$, all_719_0) = 0
% 79.84/11.66 | (24) iBool$(tltrue) = all_719_0
% 79.84/11.66 |
% 79.84/11.66 | DELTA: instantiating (4) with fresh symbol all_729_0 gives:
% 79.84/11.66 | (25) iBool$(tltrue) = all_729_0 & ZF_ZF_IType$(all_729_0) & ! [v0:
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.84/11.66 | ZF_ZF_unit_Axioms_ext$] : ! [v2: ZF_ZF_Language$] : ! [v3:
% 79.84/11.66 | ZF_ZF_Language_set$] : ! [v4: int] : (v4 = 0 | ~ (aAxioms$(v1) =
% 79.84/11.66 | v3) | ~ (interp$(v0, v2, all_729_0) = v4) | ~ (member$(v2, v3) =
% 79.84/11.66 | 0) | ~ ZF_ZF_unit_Axioms_ext$(v1) | ~
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) | ~ ZF_ZF_Language$(v2) |
% 79.84/11.66 | ? [v5: int] : ( ~ (v5 = 0) & model$(v0, v1) = v5))
% 79.84/11.66 |
% 79.84/11.66 | ALPHA: (25) implies:
% 79.84/11.66 | (26) ZF_ZF_IType$(all_729_0)
% 79.84/11.66 | (27) iBool$(tltrue) = all_729_0
% 79.84/11.66 |
% 79.84/11.66 | DELTA: instantiating (5) with fresh symbol all_732_0 gives:
% 79.84/11.66 | (28) iBool$(tltrue) = all_732_0 & ZF_ZF_IType$(all_732_0) & ! [v0:
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.84/11.66 | ZF_ZF_unit_Axioms_ext$] : ! [v2: ZF_ZF_Language$] : ! [v3:
% 79.84/11.66 | ZF_ZF_Language_set$] : ! [v4: int] : (v4 = 0 | ~ (interp$(v0, v2,
% 79.84/11.66 | all_732_0) = v4) | ~ (theory$(v1) = v3) | ~ (member$(v2, v3) =
% 79.84/11.66 | 0) | ~ ZF_ZF_unit_Axioms_ext$(v1) | ~
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) | ~ ZF_ZF_Language$(v2) |
% 79.84/11.66 | ? [v5: int] : ( ~ (v5 = 0) & model$(v0, v1) = v5))
% 79.84/11.66 |
% 79.84/11.66 | ALPHA: (28) implies:
% 79.84/11.66 | (29) iBool$(tltrue) = all_732_0
% 79.84/11.66 |
% 79.84/11.66 | DELTA: instantiating (7) with fresh symbol all_816_0 gives:
% 79.84/11.66 | (30) iBool$(tltrue) = all_816_0 & ZF_ZF_IType$(all_816_0) & ! [v0:
% 79.84/11.66 | ZF_ZF_unit_Axioms_ext$] : ! [v1:
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v2: int] : (v2 = 0 | ~
% 79.84/11.66 | (model_axioms$(v1, v0) = v2) | ~ ZF_ZF_unit_Axioms_ext$(v0) | ~
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v1) | ? [v3:
% 79.84/11.66 | ZF_ZF_Language_set$] : ? [v4: ZF_ZF_unit_Signature_ext$] : ?
% 79.84/11.66 | [v5: ZF_ZF_unit_Signature_ext$] : (aAxioms$(v0) = v3 &
% 79.84/11.66 | iSignature$(v1) = v5 & aSignature$(v0) = v4 &
% 79.84/11.66 | ZF_ZF_unit_Signature_ext$(v5) & ZF_ZF_unit_Signature_ext$(v4) &
% 79.84/11.66 | ZF_ZF_Language_set$(v3) & ( ~ (v5 = v4) | ? [v6: ZF_ZF_Language$]
% 79.84/11.66 | : ? [v7: int] : ( ~ (v7 = 0) & interp$(v1, v6, all_816_0) = v7
% 79.84/11.66 | & member$(v6, v3) = 0 & ZF_ZF_Language$(v6)))))
% 79.84/11.66 |
% 79.84/11.66 | ALPHA: (30) implies:
% 79.84/11.66 | (31) iBool$(tltrue) = all_816_0
% 79.84/11.66 |
% 79.84/11.66 | DELTA: instantiating (8) with fresh symbol all_819_0 gives:
% 79.84/11.66 | (32) iBool$(tltrue) = all_819_0 & ZF_ZF_IType$(all_819_0) & ! [v0:
% 79.84/11.66 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1: ZF$] : ! [v2:
% 79.84/11.66 | ZF_ZF_Expression$] : ! [v3: ZF$] : ! [v4: ZF$] : ! [v5:
% 79.84/11.66 | ZF_ZF_Expression$] : ! [v6: ZF_ZF_ZF_Language_fun$] : ! [v7:
% 79.84/11.66 | ZF_ZF_Language$] : ! [v8: ZF_ZF_IType$] : ! [v9:
% 79.84/11.66 | ZF_ZF_ZF_Language_fun$] : ! [v10: ZF_ZF_Language$] : ! [v11: int]
% 79.84/11.66 | : (v11 = 0 | ~ (iMor$(v4) = v8) | ~ (interp$(v0, v10, all_819_0) =
% 79.84/11.66 | v11) | ~ (interp$(v0, v7, v8) = 0) | ~ (equation$d(v1, v2, v5) =
% 79.84/11.66 | v9) | ~ (term$(v1, v2) = v6) | ~ (fun_app$l(v9, v3) = v10) | ~
% 79.84/11.66 | (fun_app$l(v6, v3) = v7) | ~ ZF$(v4) | ~ ZF$(v3) | ~ ZF$(v1) | ~
% 79.84/11.67 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) | ~ ZF_ZF_Expression$(v5)
% 79.84/11.67 | | ~ ZF_ZF_Expression$(v2) | ? [v12: any] : ? [v13:
% 79.84/11.67 | ZF_ZF_ZF_Language_fun$] : ? [v14: ZF_ZF_Language$] : ? [v15:
% 79.84/11.67 | any] : (interp$(v0, v14, v8) = v15 & interpretation$(v0) = v12 &
% 79.84/11.67 | term$(v1, v5) = v13 & fun_app$l(v13, v3) = v14 &
% 79.84/11.67 | ZF_ZF_ZF_Language_fun$(v13) & ZF_ZF_Language$(v14) & ( ~ (v15 = 0)
% 79.84/11.67 | | ~ (v12 = 0))))
% 79.84/11.67 |
% 79.84/11.67 | ALPHA: (32) implies:
% 79.84/11.67 | (33) iBool$(tltrue) = all_819_0
% 79.84/11.67 |
% 79.84/11.67 | DELTA: instantiating (9) with fresh symbol all_822_0 gives:
% 79.84/11.67 | (34) iBool$(tltrue) = all_822_0 & ZF_ZF_IType$(all_822_0) & ! [v0:
% 79.84/11.67 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1: ZF$] : ! [v2:
% 79.84/11.67 | ZF_ZF_Expression$] : ! [v3: ZF_ZF_Expression$] : ! [v4: ZF$] : !
% 79.84/11.67 | [v5: ZF_ZF_ZF_Language_fun$] : ! [v6: ZF_ZF_Language$] : ( ~
% 79.84/11.67 | (interp$(v0, v6, all_822_0) = 0) | ~ (equation$d(v1, v2, v3) = v5)
% 79.84/11.67 | | ~ (fun_app$l(v5, v4) = v6) | ~ ZF$(v4) | ~ ZF$(v1) | ~
% 79.84/11.67 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) | ~ ZF_ZF_Expression$(v3)
% 79.84/11.67 | | ~ ZF_ZF_Expression$(v2) | ? [v7: any] : ? [v8:
% 79.84/11.67 | ZF_ZF_ZF_Language_fun$] : ? [v9: ZF_ZF_Language$] : ? [v10:
% 79.84/11.67 | ZF_ZF_ZF_Language_fun$] : ? [v11: ZF_ZF_Language$] :
% 79.84/11.67 | (interpretation$(v0) = v7 & term$(v1, v3) = v10 & term$(v1, v2) = v8
% 79.84/11.67 | & fun_app$l(v10, v4) = v11 & fun_app$l(v8, v4) = v9 &
% 79.84/11.67 | ZF_ZF_ZF_Language_fun$(v10) & ZF_ZF_ZF_Language_fun$(v8) &
% 79.84/11.67 | ZF_ZF_Language$(v11) & ZF_ZF_Language$(v9) & ( ~ (v7 = 0) | ?
% 79.84/11.67 | [v12: ZF$] : ? [v13: ZF_ZF_IType$] : (iMor$(v12) = v13 &
% 79.84/11.67 | interp$(v0, v11, v13) = 0 & interp$(v0, v9, v13) = 0 &
% 79.84/11.67 | ZF$(v12) & ZF_ZF_IType$(v13)))))
% 79.84/11.67 |
% 79.84/11.67 | ALPHA: (34) implies:
% 79.84/11.67 | (35) iBool$(tltrue) = all_822_0
% 79.84/11.67 |
% 79.84/11.67 | DELTA: instantiating (6) with fresh symbol all_825_0 gives:
% 79.84/11.67 | (36) iBool$(tltrue) = all_825_0 & ZF_ZF_IType$(all_825_0) & ! [v0:
% 79.84/11.67 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.84/11.67 | ZF_ZF_unit_Axioms_ext$] : ! [v2: int] : (v2 = 0 | ~
% 79.84/11.67 | (model_axioms$(v0, v1) = v2) | ~ ZF_ZF_unit_Axioms_ext$(v1) | ~
% 79.84/11.67 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) | ? [v3:
% 79.84/11.67 | ZF_ZF_Language_set$] : ? [v4: ZF_ZF_unit_Signature_ext$] : ?
% 79.84/11.67 | [v5: ZF_ZF_unit_Signature_ext$] : (aAxioms$(v1) = v3 &
% 79.84/11.67 | iSignature$(v0) = v5 & aSignature$(v1) = v4 &
% 79.84/11.67 | ZF_ZF_unit_Signature_ext$(v5) & ZF_ZF_unit_Signature_ext$(v4) &
% 79.84/11.67 | ZF_ZF_Language_set$(v3) & ( ~ (v5 = v4) | ? [v6: ZF_ZF_Language$]
% 79.84/11.67 | : ? [v7: int] : ( ~ (v7 = 0) & interp$(v0, v6, all_825_0) = v7
% 79.84/11.67 | & member$(v6, v3) = 0 & ZF_ZF_Language$(v6))))) & ! [v0:
% 79.84/11.67 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$] : ! [v1:
% 79.84/11.67 | ZF_ZF_unit_Axioms_ext$] : ( ~ (model_axioms$(v0, v1) = 0) | ~
% 79.84/11.67 | ZF_ZF_unit_Axioms_ext$(v1) | ~
% 79.84/11.67 | ZF_ZF_ZF_ZF_unit_Interpretation_ext$(v0) | ? [v2:
% 79.84/11.67 | ZF_ZF_Language_set$] : ? [v3: ZF_ZF_unit_Signature_ext$] :
% 79.84/11.67 | (aAxioms$(v1) = v2 & iSignature$(v0) = v3 & aSignature$(v1) = v3 &
% 79.84/11.67 | ZF_ZF_unit_Signature_ext$(v3) & ZF_ZF_Language_set$(v2) & ! [v4:
% 79.84/11.67 | ZF_ZF_Language$] : ! [v5: int] : (v5 = 0 | ~ (interp$(v0, v4,
% 79.84/11.67 | all_825_0) = v5) | ~ ZF_ZF_Language$(v4) | ? [v6: int] : (
% 79.84/11.67 | ~ (v6 = 0) & member$(v4, v2) = v6))))
% 79.84/11.67 |
% 79.84/11.67 | ALPHA: (36) implies:
% 79.84/11.67 | (37) iBool$(tltrue) = all_825_0
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (14) with all_711_1, all_719_1, t$, simplifying
% 79.84/11.67 | with (19), (22) gives:
% 79.84/11.67 | (38) all_719_1 = all_711_1
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (15) with all_729_0, all_732_0, tltrue, simplifying
% 79.84/11.67 | with (27), (29) gives:
% 79.84/11.67 | (39) all_732_0 = all_729_0
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (15) with all_732_0, all_816_0, tltrue, simplifying
% 79.84/11.67 | with (29), (31) gives:
% 79.84/11.67 | (40) all_816_0 = all_732_0
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (15) with all_819_0, all_822_0, tltrue, simplifying
% 79.84/11.67 | with (33), (35) gives:
% 79.84/11.67 | (41) all_822_0 = all_819_0
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (15) with all_816_0, all_822_0, tltrue, simplifying
% 79.84/11.67 | with (31), (35) gives:
% 79.84/11.67 | (42) all_822_0 = all_816_0
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (15) with all_822_0, all_825_0, tltrue, simplifying
% 79.84/11.67 | with (35), (37) gives:
% 79.84/11.67 | (43) all_825_0 = all_822_0
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (15) with all_719_0, all_825_0, tltrue, simplifying
% 79.84/11.67 | with (24), (37) gives:
% 79.84/11.67 | (44) all_825_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | COMBINE_EQS: (43), (44) imply:
% 79.84/11.67 | (45) all_822_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | SIMP: (45) implies:
% 79.84/11.67 | (46) all_822_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | COMBINE_EQS: (41), (46) imply:
% 79.84/11.67 | (47) all_819_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | COMBINE_EQS: (41), (42) imply:
% 79.84/11.67 | (48) all_819_0 = all_816_0
% 79.84/11.67 |
% 79.84/11.67 | COMBINE_EQS: (47), (48) imply:
% 79.84/11.67 | (49) all_816_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | SIMP: (49) implies:
% 79.84/11.67 | (50) all_816_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | COMBINE_EQS: (40), (50) imply:
% 79.84/11.67 | (51) all_732_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | SIMP: (51) implies:
% 79.84/11.67 | (52) all_732_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | COMBINE_EQS: (39), (52) imply:
% 79.84/11.67 | (53) all_729_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | SIMP: (53) implies:
% 79.84/11.67 | (54) all_729_0 = all_719_0
% 79.84/11.67 |
% 79.84/11.67 | REDUCE: (23), (38) imply:
% 79.84/11.67 | (55) interp$(all_711_1, phi$, all_719_0) = 0
% 79.84/11.67 |
% 79.84/11.67 | REDUCE: (21), (38) imply:
% 79.84/11.67 | (56) ZF_ZF_ZF_ZF_unit_Interpretation_ext$(all_711_1)
% 79.84/11.67 |
% 79.84/11.67 | REDUCE: (26), (54) imply:
% 79.84/11.67 | (57) ZF_ZF_IType$(all_719_0)
% 79.84/11.67 |
% 79.84/11.67 | GROUND_INST: instantiating (axiom29) with t$, all_711_1, simplifying with
% 79.84/11.67 | (10), (19) gives:
% 79.84/11.67 | (58) ? [v0: any] : ? [v1: any] : (interpretation$(all_711_1) = v1 &
% 79.84/11.67 | zFAxioms$(t$) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 79.84/11.67 |
% 79.84/11.68 | GROUND_INST: instantiating (axiom50) with all_711_1, phi$, all_719_0,
% 79.84/11.68 | simplifying with (2), (55), (56), (57) gives:
% 79.84/11.68 | (59) ? [v0: any] : ? [v1: ZF_ZF_unit_Signature_ext$] : ? [v2:
% 79.84/11.68 | ZF_ZF_Language_bool_fun$] : ? [v3: any] : (iSignature$(all_711_1) =
% 79.84/11.68 | v1 & interpretation$(all_711_1) = v0 & wellDefined$(v1) = v2 &
% 79.84/11.68 | fun_app$b(v2, phi$) = v3 & ZF_ZF_Language_bool_fun$(v2) &
% 79.84/11.68 | ZF_ZF_unit_Signature_ext$(v1) & ( ~ (v0 = 0) | v3 = 0))
% 79.84/11.68 |
% 79.84/11.68 | DELTA: instantiating (58) with fresh symbols all_840_0, all_840_1 gives:
% 79.84/11.68 | (60) interpretation$(all_711_1) = all_840_0 & zFAxioms$(t$) = all_840_1 & (
% 79.84/11.68 | ~ (all_840_1 = 0) | all_840_0 = 0)
% 79.84/11.68 |
% 79.84/11.68 | ALPHA: (60) implies:
% 79.84/11.68 | (61) zFAxioms$(t$) = all_840_1
% 79.84/11.68 | (62) interpretation$(all_711_1) = all_840_0
% 79.84/11.68 | (63) ~ (all_840_1 = 0) | all_840_0 = 0
% 79.84/11.68 |
% 79.84/11.68 | DELTA: instantiating (59) with fresh symbols all_842_0, all_842_1, all_842_2,
% 79.84/11.68 | all_842_3 gives:
% 79.84/11.68 | (64) iSignature$(all_711_1) = all_842_2 & interpretation$(all_711_1) =
% 79.84/11.68 | all_842_3 & wellDefined$(all_842_2) = all_842_1 & fun_app$b(all_842_1,
% 79.84/11.68 | phi$) = all_842_0 & ZF_ZF_Language_bool_fun$(all_842_1) &
% 79.84/11.68 | ZF_ZF_unit_Signature_ext$(all_842_2) & ( ~ (all_842_3 = 0) | all_842_0
% 79.84/11.68 | = 0)
% 79.84/11.68 |
% 79.84/11.68 | ALPHA: (64) implies:
% 79.84/11.68 | (65) interpretation$(all_711_1) = all_842_3
% 79.84/11.68 |
% 79.84/11.68 | GROUND_INST: instantiating (12) with 0, all_840_1, t$, simplifying with (1),
% 79.84/11.68 | (61) gives:
% 79.84/11.68 | (66) all_840_1 = 0
% 79.84/11.68 |
% 79.84/11.68 | GROUND_INST: instantiating (13) with all_711_0, all_842_3, all_711_1,
% 79.84/11.68 | simplifying with (18), (65) gives:
% 79.84/11.68 | (67) all_842_3 = all_711_0
% 79.84/11.68 |
% 79.84/11.68 | GROUND_INST: instantiating (13) with all_840_0, all_842_3, all_711_1,
% 79.84/11.68 | simplifying with (62), (65) gives:
% 79.84/11.68 | (68) all_842_3 = all_840_0
% 79.84/11.68 |
% 79.84/11.68 | COMBINE_EQS: (67), (68) imply:
% 79.84/11.68 | (69) all_840_0 = all_711_0
% 79.84/11.68 |
% 79.84/11.68 | BETA: splitting (63) gives:
% 79.84/11.68 |
% 79.84/11.68 | Case 1:
% 79.84/11.68 | |
% 79.84/11.68 | | (70) ~ (all_840_1 = 0)
% 79.84/11.68 | |
% 79.84/11.68 | | REDUCE: (66), (70) imply:
% 79.84/11.68 | | (71) $false
% 79.84/11.68 | |
% 79.84/11.68 | | CLOSE: (71) is inconsistent.
% 79.84/11.68 | |
% 79.84/11.68 | Case 2:
% 79.84/11.68 | |
% 79.84/11.68 | | (72) all_840_0 = 0
% 79.84/11.68 | |
% 79.84/11.68 | | COMBINE_EQS: (69), (72) imply:
% 79.84/11.68 | | (73) all_711_0 = 0
% 79.84/11.68 | |
% 79.84/11.68 | | REDUCE: (17), (73) imply:
% 79.84/11.68 | | (74) $false
% 79.84/11.68 | |
% 79.84/11.68 | | CLOSE: (74) is inconsistent.
% 79.84/11.68 | |
% 79.84/11.68 | End of split
% 79.84/11.68 |
% 79.84/11.68 End of proof
% 79.84/11.68 % SZS output end Proof for theBenchmark
% 79.84/11.68
% 79.84/11.68 11052ms
%------------------------------------------------------------------------------